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A102354 a(n) = number of ways n can be written as k^2 * j, 0 < j <= k. +0
6
1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0 (list; graph; listen)
OFFSET

1,64

COMMENT

Sum_{n>0} a(n)/n = 2*zeta(3).

EXAMPLE

a(18) = 1 because 18 = k^2 * j, j <= k, in one way: k=3, j=2.

MATHEMATICA

t = Sort[ Flatten[ Table[k^2*j, {k, 11}, {j, k}]]]; Table[ Count[t, n], {n, 105}] (from Robert G. Wilson v Feb 22 2005)

CROSSREFS

Cf. A102448, A104020, A104022, A104024.

Sequence in context: A010103 A086078 A014082 this_sequence A087781 A056626 A091398

Adjacent sequences: A102351 A102352 A102353 this_sequence A102355 A102356 A102357

KEYWORD

nonn

AUTHOR

Leroy Quet (qq-quet(AT)mindspring.com), Feb 21 2005

EXTENSIONS

More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Feb 22 2005

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Last modified July 24 12:00 EDT 2008. Contains 142294 sequences.


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