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Search: id:A154615
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A154615 A022998(n)^2. +0
3
0, 1, 16, 9, 64, 25, 144, 49, 256, 81, 400, 121, 576, 169, 784, 225, 1024, 289, 1296, 361, 1600, 441, 1936, 529, 2304, 625, 2704, 729, 3136, 841, 3600, 961, 4096, 1089, 4624, 1225, 5184, 1369, 5776, 1521, 6400, 1681, 7056, 1849, 7744, 2025, 8464, 2209, 9216 (list; graph; listen)
OFFSET

0,3

COMMENT

The sequence can be obtained by re-ordering A000290 and deleting squares of the form A130824(k)^2.

FORMULA

Denominator of 1/4-1/(2n)^2, if n>0.

a(2n+1) = A016754(n). a(2n) = 16*A000290(n).

a(n) = A061038(2*n) (bisection).

a(n) = 3*a(n-2)-3*a(n-4)+a(n-6). G.f.: x*(1+16*x+6*x^2+16*x^3+x^4)/((1-x)^3*(1+x)^3).

CROSSREFS

Sequence in context: A070567 A070688 A103167 this_sequence A040242 A070578 A028695

Adjacent sequences: A154612 A154613 A154614 this_sequence A154616 A154617 A154618

KEYWORD

nonn,easy

AUTHOR

Paul Curtz (bpcrtz(AT)free.fr), Jan 13 2009

EXTENSIONS

Edited, offset set to 1, and extended by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 07 2009

a(0) added Oct 21 2009

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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