A373883 - OEIS

A373883

Number of lattice points inside or on the 5-dimensional hypersphere x_1^2 + x_2^2 + x_3^2 + x_4^2 + x_5^2 = 10^n.

11, 1903, 532509, 166711479, 52646439609, 16645828150193, 5263797438037625, 1664556518763850069, 526378909839312477785, 166455624316184206850205, 52637890147973140623040513, 16645562406807092052281075983, 5263789013922669372094091725857

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OFFSET

0,1

LINKS

Table of n, a(n) for n=0..12.

FORMULA

a(n) = A175360(10^n).

PROG

(PARI) b(k, n) = my(q='q+O('q^(n+1))); polcoef((eta(q^2)^5/(eta(q)^2*eta(q^4)^2))^k/(1-q), n);

a(n) = b(5, 10^n);

CROSSREFS

Cf. A068785, A373881, A373882, A373884, A373885, A373896.

Cf. A055411, A175360.

Sequence in context: A308155 A222874 A028453 * A024151 A114354 A167249

Adjacent sequences: A373880 A373881 A373882 * A373884 A373885 A373886

KEYWORD

nonn,more

AUTHOR

Seiichi Manyama, Jun 21 2024

EXTENSIONS

a(7) from Chai Wah Wu, Jun 22 2024

a(8)-a(10) from Chai Wah Wu, Jun 23 2024

a(11)-a(12) from Chai Wah Wu, Jun 24 2024

STATUS

approved