cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A136724 Numbers divisible by 4 that are not powers of 2.

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%I A136724 #26 Jun 01 2025 10:02:36
%S A136724 12,20,24,28,36,40,44,48,52,56,60,68,72,76,80,84,88,92,96,100,104,108,
%T A136724 112,116,120,124,132,136,140,144,148,152,156,160,164,168,172,176,180,
%U A136724 184,188,192,196,200,204,208,212,216,220,224,228,232,236,240,244,248
%N A136724 Numbers divisible by 4 that are not powers of 2.
%C A136724 Primitive dimensions of Hadamard matrices which cannot be obtained as tensor powers of the primitive matrix 2 X 2 {{1,1},{1,-1}}.
%C A136724 5+7=12=2+4+6, 9+11=20=2+4+6+8,.. Numbers that can be expressed as sum of two or more positive consecutive odd numbers AND as sums of two or more positive consecutive even numbers. - _Vladimir Joseph Stephan Orlovsky_, May 11 2010
%C A136724 Numbers in A008586 but not in A000079. - _Michel Marcus_, Nov 07 2013
%C A136724 Nicomachus called these numbers "odd-times even". - _Eric M. Schmidt_, Mar 30 2019
%H A136724 Nicomachus, <a href="https://archive.org/details/NicomachusIntroToArithmetic">Introduction to Arithmetic</a>, Book I, Chapter X.
%t A136724 a = {}; Do[k = 4n; If[Round[Log[k]/Log[2]] == Log[k]/Log[2],[null], AppendTo[a, k]], {n, 1, 100}]; a
%t A136724 Select[Range[62]*4,!IntegerQ[Log2[#]]&] (* _James C. McMahon_, Jun 01 2025 *)
%Y A136724 Cf. A007299.
%Y A136724 Cf. A000079, A008586.
%K A136724 nonn
%O A136724 1,1
%A A136724 _Artur Jasinski_, Jan 19 2008