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A294975 a(n) = (1/(24*n)) * Sum_{d|n} A008683(n/d) * (A288840(d) - A288877(d)). 3
30, 11775, 4261790, 1712983575, 733856931102, 327479190724415, 150310619778297630, 70428822637214055855, 33523597190372498303390, 16156445902947621421555071, 7865129058155113639991368350, 3860735065245244345161225213335 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Seiichi Manyama, Table of n, a(n) for n = 1..367

FORMULA

a(n) ~ exp(2*Pi*n) / (12*n). - Vaclav Kotesovec, Jun 03 2018

MATHEMATICA

terms = 12;

E2[x_] = 1 - 24*Sum[k*x^k/(1 - x^k), {k, 1, terms}];

E4[x_] = 1 + 240*Sum[k^3*x^k/(1 - x^k), {k, 1, terms}];

E6[x_] = 1 - 504*Sum[k^5*x^k/(1 - x^k), {k, 1, terms}];

E8[x_] = 1 + 480*Sum[k^7*x^k/(1 - x^k), {k, 1, terms}];

a[n_] := (1/(24 n))*Sum[MoebiusMu[n/d]*SeriesCoefficient[E8[x]/E6[x] - E4[x]/E2[x], {x, 0, d}], {d, Divisors[n]}];

Array[a, terms] (* Jean-François Alcover, Feb 26 2018 *)

CROSSREFS

Cf. A008683, A288840, A288877, A294976.

Sequence in context: A056071 A299410 A294976 * A294979 A250435 A137749

Adjacent sequences:  A294972 A294973 A294974 * A294976 A294977 A294978

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Feb 12 2018

STATUS

approved

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Last modified September 21 10:03 EDT 2020. Contains 337268 sequences. (Running on oeis4.)