A112773 vs A116944 ? - both have same terms (except that A116944 has two extra initial terms)

[Alexander Povolotsky]

A112773  	 	 Three times the odd primes.  	 	 +20
1
	9, 15, 21, 33, 39, 51, 57, 69, 87, 93, 111, 123, 129, 141, 159, 177,
183, 201, 213, 219, 237, 249, 267, 291, 303, 309, 321, 327, 339, 381,
393, 411, 417, 447, 453, 471, 489, 501, 519, 537, 543, 573, 579, 591,
597, 633, 669, 681, 687, 699, 717, 723, 753, 771 (list; graph; listen)
	OFFSET 	

1,1
	
	COMMENT 	

Semiprimes of the form 6n+3.
	FORMULA 	

a(n) = 3 * A065091(n) = 6 * A005097(n) + 3.
	CROSSREFS 	

Same as A001748 - {6}.

Sequence in context: A096788 A050991 A033553 this_sequence A020192
A063174 A072569

Adjacent sequences: A112770 A112771 A112772 this_sequence A112774
A112775 A112776
	KEYWORD 	

easy,nonn
	AUTHOR 	

Jonathan Vos Post (jvospost2(AT)yahoo.com) and Ray Chandler
(rayjchandler(AT)sbcglobal.net), Oct 15 2005
	EXTENSIONS 	

Better definition from Enoch Haga (Enokh(AT)comcast.net), Sep 30 2007
=================================================================================================
A116944 		3 together with primes multiplied by 3. 		+20
1
	3, 6, 9, 15, 21, 33, 39, 51, 57, 69, 87, 93, 111, 123, 129, 141, 159,
177, 183, 201, 213, 219, 237, 249, 267, 291, 303, 309, 321, 327, 339,
381, 393, 411, 417, 447, 453, 471, 489, 501, 519, 537, 543, 573, 579,
591, 597, 633, 669, 681, 687, 699, 717, 723, 753 (list; graph; listen)
	OFFSET 	

1,1
	
	COMMENT 	

3-centric analogue to A001747 2 together with primes multiplied by 2.
May be considered the "triple primes", since these are the odd numbers
n = 3k which are divisible just by 1, 3, k and 3k. Elements other than
initial 3 are a subset of A046315 Odd numbers divisible by exactly 2
primes (counted with multiplicity). All elements constitute a subset
of A008585 Multiples of 3.
	FORMULA 	

{3} UNION {3 * A000040(n)}.
	MATHEMATICA 	

Insert[Table[3Prime[n], {n, 1, 60}], 3, 1] - Stefan Steinerberger
(stefan.steinerberger(AT)gmail.com), Mar 30 2006
	CROSSREFS 	

Cf. A000040, A001747, A008585, A046315.

Sequence in context: A031940 A007187 A082004 this_sequence A070885
A002597 A057855

Adjacent sequences: A116941 A116942 A116943 this_sequence A116945
A116946 A116947
	KEYWORD 	

easy,nonn,less
	AUTHOR 	

Jonathan Vos Post (jvospost2(AT)yahoo.com), Mar 24 2006




Dear Seqfans,  there are quite a few messages
about this sequence in my huge stack of emails.
%I A110907
%S A110907 1,2,6,12
...

It seems very likely that there are no further terms,
and as this string of numbers is very short and has
no distinguishing features, I have
deleted it.