fyi - recently submitted to OEIS (but not posted yet) sequences

Alexander Povolotsky apovolot at gmail.com
Wed Jan 16 17:13:08 CET 2008


Hi,

 FYI - recently submitted to OEIS (but not posted yet) sequences,

Date: Sat, 12 Jan 2008 08:03:37 -0500
From: The On-Line Encyclopedia of Integer Sequences <
oeis at research.att.com<http://webmaila.juno.com/webmail/new/8?folder=Inbox&msgNum=00000eW0:0017YBeY00003%5E1_&block=1&msgNature=all&msgStatus=all&count=1200499500&content=central#>
>
Subject: NEW SEQUENCE FROM Alexander R. Povolotsky
%I A000001
%S A000001 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4,
4, 4, 5, 5,
5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10,
10, 10, 10, 10, 11,
%N A000001 a(n)= floor(n^2/10) - floor((n-1)^2/10)
%C A000001 Note that for n >=1 there is the pattern that keeps steadily
alternating
between 4 terms and 6 terms for the each two consecutive groups.
The terms value remains the same within each 4-term or 6-term group, while
during the
switch from the 4-group to the 6-group and then back from the 6-group to the
4-group,
etc., the term value is getting bumped by 1.
%F A000001 a(n)= floor(n^2/10) - floor((n-1)^2/10)
%o A000001 (PARI) a(n)= floor(n^2/10) - floor((n-1)^2/10)
%O A000001 0
%K A000001 ,nonn,
%A A000001 Alexander R. Povolotsky (
pevnev at juno.com<http://webmaila.juno.com/webmail/new/8?folder=Inbox&msgNum=00000eW0:0017YBeY00003%5E1_&block=1&msgNature=all&msgStatus=all&count=1200499500&content=central#>),
Jan 12 2008
RH
RA 192.20.225.32
RU
RI
---------------------------------------
Date: Tue, 15 Jan 2008 18:21:42 -0500
From: The On-Line Encyclopedia of Integer Sequences <
oeis at research.att.com<http://webmaila.juno.com/webmail/new/8?folder=Inbox&msgNum=00000oW0:0017ZJzz00001ZKc&block=1&msgNature=all&msgStatus=all&count=1200499629&content=central#>
>
Subject: NEW SEQUENCE FROM Alexander R. Povolotsky
%I A000001
%S A000001 7,8,9,10,11,12,13
%N A000001 Integers N, listed in increasing order, such that

N =(floor(N^2/10) + 10)/2

%O A000001 1
%K A000001 ,nonn,
%A A000001 Alexander R. Povolotsky (
pevnev at juno.com<http://webmaila.juno.com/webmail/new/8?folder=Inbox&msgNum=00000oW0:0017ZJzz00001ZKc&block=1&msgNature=all&msgStatus=all&count=1200499629&content=central#>),
Jan 15 2008
RH
RA 192.20.225.32
RU
RI
-------------------------------------
Date: Tue, 15 Jan 2008 18:33:06 -0500
From: The On-Line Encyclopedia of Integer Sequences <
oeis at research.att.com<http://webmaila.juno.com/webmail/new/8?folder=Inbox&msgNum=00000oW0:0017ZJzz00001ZKc&block=1&msgNature=all&msgStatus=all&count=1200499629&content=central#>
>
Subject: NEW SEQUENCE FROM Alexander R. Povolotsky

%I A000001
%S A000001 10,20,30,40,50,60,70,80,90,100,110
%N A000001 Integers N, listed in increasing order, such that

a(n) = N =(floor(N^2/100) + 100 - (10 - n)^2)/2

%O A000001 1
%K A000001 ,nonn,
%A A000001 Alexander R. Povolotsky (
pevnev at juno.com<http://webmaila.juno.com/webmail/new/8?folder=Inbox&msgNum=00000ok0:0017ZKAj00002oTq&block=1&msgNature=all&msgStatus=all&count=1200499743&content=central#>),
Jan 15 2008
RH
RA 192.20.225.32
RU
RI
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