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A031123 Expansion of Sum_{m>=1} z^(m^2)/(1-z^((m+1)^2)). 1
0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 3, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 3, 0, 0, 0, 1, 0, 0, 0, 3, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,10

LINKS

Table of n, a(n) for n=0..80.

N. Luzin, Function: Part II, Amer. Math. Monthly, 105 (1998), 263-270.

MATHEMATICA

nmax = 100; CoefficientList[Series[Sum[x^(m^2)/(1 - x^((m+1)^2)), {m, 1, Floor[Sqrt[nmax]] + 1}], {x, 0, nmax}], x] (* Vaclav Kotesovec, Oct 04 2017 *)

PROG

(PARI) lista(nn) = concat(0, Vec(sum(m=1, nn, z^(m^2)/(1-z^((m+1)^2) + O(z^nn))))); \\ Michel Marcus, Oct 02 2017

CROSSREFS

Cf. A031124.

Sequence in context: A036274 A047753 A303947 * A104194 A292261 A035153

Adjacent sequences:  A031120 A031121 A031122 * A031124 A031125 A031126

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified December 3 05:05 EST 2021. Contains 349445 sequences. (Running on oeis4.)