Yesterday problem with ONEIS

[Artur]

Dear Seqfans,
Confirmations of new submitted sequences don't returned yesterday by E-Mail.
I don't know that I was fill wrong email or this was some wrong with ONEIS ?
Who submitted yesterday let me know.
BEST WISHES
ARTUR



Jonathan Post pisze:
> If we construct hypertribonacci numbers, which are to the
> hyperfibonacci array of A136431 as the tribonacci numbers A000073 are
> to the Fibonacci numbers A000045, then we have 6 existing OEIS
> sequences as rows and columns (or 9 if we include the all 0 seq, the
> all 1 seq, and n).
>
> The recursion is:
>
> a(k,n) = apply partial sum operator k times to tribonacci numbers A000073.
>
> ========================================
> n=0..|.1.|.2.|...3.|...4.|.....5.|.......6.|.......7.|.........8.|..........9.|......10.|
> ========================================
> k=0..|.0.|.0.|...1.|...2.|.....4.|.......7.|.....13.|.......24.|.......44.|.......81.|
> A000073
> k=1..|.0.|.0.|...2.|...4.|.....8.|.....15.|.....28.|.......52.|.......96.|.....177.|
> A008937
> k=2..|.0.|.0.|...3.|...7.|...15.|.....30.|.....58.|.....110.|.....206.|.....383.|
> A062544
> k=3..|.0.|.0.|...4.|.11.|...26.|.....56.|...114.|.....224.|.....430.|.....813.|
> new
> k=4..|.0.|.0.|...5.|.16.|...42.|.....98.|...212.|.....436.|.....866.|...1679.|
> new
> k=5..|.0.|.0.|...6.|.22.|...64.|...162.|...374.|.....810.|...1676.|...3355.| new
> k=6..|.0.|.0.|...7.|.29.|...93.|...255.|...659.|...1469.|...3145.|...6500.| new
> k=7..|.0.|.0.|...8.|.37.|.130.|...385.|.1044.|...2513.|...5658.|.12158.| new
> k=8..|.0.|.0.|...9.|.46.|.176.|...561.|.1605.|...4118.|...9776.|.21934.| new
> k=9..|.0.|.0.|.10.|.56.|.232.|...793.|.2398.|...6516.|.16292.|.38226.| new
> k=10|.0.|.0.|.11.|.67.|.299.|.1092.|.3490.|.10006.|.16292.|.26298.| new
> k=11|.0.|.0.|.12.|.79.|.378.|.1470.|.4960.|.14966.|.31258.|.57556.| new
> ========================================
>
> It appears that:
> n=4 column == A000124 Central polygonal numbers n(n+1)/2+1;
> n=5 column == A000125 Cake numbers C(n+1,3)+n+1;
> n=6 column == A055795 Binomial(m,4)+Binomial(n,2).
>
> Is any of this valid, or is my full time substitute teaching of
> teenagers plus night classes at teacher's college causing lack of
> sleep which makes me see patterns that are spurious?
>
> Thnaks for the attention and consideration.
>
> -- Jonathan Vos Post
>
> __________ NOD32 Informacje 2701 (20071204) __________
>
> Wiadomosc zostala sprawdzona przez System Antywirusowy NOD32
> http://www.nod32.com lub http://www.nod32.pl 
>
>
>
>   




mh> From seqfan-owner at ext.jussieu.fr  Sun Apr 13 04:03:46 2008
mh> Date: Sat, 12 Apr 2008 22:03:29 -0400
mh> From: "Maximilian Hasler" <maximilian.hasler at gmail.com>
mh> To: "Richard Mathar" <mathar at strw.leidenuniv.nl>,
mh>         "Zakir Seidov" <zakseidov at yahoo.com>
mh> Subject: Re: A137365: correct terms?
mh> Cc: seqfan at ext.jussieu.fr
mh> 
mh> Axxx = numbers which are the sum of the cubes of 3 different odd primes
mh>  =?= 495,1483,1701,1799,2349,2567,2665,3555,3653,3871,5065...

I get the same,
495
1483
1701
1799
2349
2567
2665
3555
3653
3871
5065
5283
5381
6271
6369
6587
7011
7137
7229
7235
7327
7453
8217
8315


mh> or
mh> Ayyy = numbers which are the sum of the cubes of 3 different primes
mh>  =?= 160,378,476,495,1366,1464,1483,1682,1701,1799,2232,2330,2349,2548...

I get the same, this is a subset of A024975:
160
378
476
495
1366
1464
1483
1682
1701
1799
2232
2330
2349
2548
2567
2665
3536
3555
3653
3871

mh> 
mh>  (The former might seem a bit artificial, but in fact the latter is
mh> the former plus
mh> additional terms which are even numbers N such that N-8 is in the sequence
mh> 
mh> Azzz = sums of 2 cubes of distinct odd primes
mh>  =?= 3^3+5^3, 3^3+7^3, 5^3+7^3, 3^3+11^3, 5^3+11^3,...
mh>  = 152, 370, 468, 1358, 1456...

I get the same, which is a subset of A120398 and of A086119:
152
370
468
1358
1456
1674
2224
2322
2540
3528
4940
5038
5256
6244
6886
6984
7110
7202
8190
9056


mh> 
mh> To my great surprise, none of these seem to exist... (not even 152,370 is found)
mh> (I can't believe it so I put =?= to mean that my terms may be wrong.)
mh> 




A117838 ought be the union of A031936, A134117 and equivalent sequences
for primes gaps which are a multiple of 18, for example the one with
prime gaps of 54, starting 35617,40289,40639,86869,100853,... (not in OEIS yet).
The reason: adding multiples of 9 to a number does not change the digital root.

The problem is that I cannot find the 2161 of A031936 in A117838.
(Note that A066540 is left aside...) So does A117838 need editing?

Richard