A395757 Decimal expansion of the sum of the reciprocals of the 10-gonal polygorials A084943.

2, 1, 0, 3, 7, 7, 5, 7, 7, 3, 4, 0, 5, 4, 4, 2, 8, 9, 4, 9, 9, 5, 9, 6, 3, 9, 5, 7, 0, 9, 3, 7, 6, 8, 8, 5, 2, 8, 6, 7, 1, 1, 9, 9, 4, 0, 5, 4, 4, 6, 2, 9, 2, 6, 1, 5, 7, 5, 4, 2, 4, 5, 1, 7, 1, 6, 0, 2, 0, 8, 9, 6, 0, 4, 2, 9, 8, 6, 7, 3, 5, 6, 5, 4, 5, 4, 0, 7, 9, 3, 1, 1, 7, 3, 6, 1, 6, 6, 7, 3, 2, 7, 3, 9, 3, 3, 6, 3, 3, 8, 6

Offset

1,1

Links

Kelvin Voskuijl, Table of n, a(n) for n = 1..10000

Index entries for transcendental numbers.

Formula

Equals 2^(-3/4) * BesselI(-3/4, 1) * Gamma(1/4).

Example

2.10377577340544289...

Mathematica

RealDigits[(BesselI[-3/4, 1] * Gamma[1/4])/2^(3/4), 10, 120][[1]]

Prog

(PARI) 2^(-3/4) * besseli(-3/4, 1) * gamma(1/4)
(PARI) hypergeom([], [1/4], 1/4) \\ Charles R Greathouse IV, Jul 27 2026

Crossrefs

Cf. A001113 (of factorials), A070910 (of factorials squared).

Cf. A395536-A395537, A395755-A395759 (pentagonal to 12-gonal).

Cf. A084943.

Sequence in context: A263426 A378607 A378606 * A357103 A278882 A383286

Adjacent sequences: A395754 A395755 A395756 * A395758 A395759 A395760

Keyword

nonn,cons,changed

Author

Kelvin Voskuijl, May 17 2026

Status

approved