A016831 a(n) = (4n+2)^7.

128, 279936, 10000000, 105413504, 612220032, 2494357888, 8031810176, 21870000000, 52523350144, 114415582592, 230539333248, 435817657216, 781250000000, 1338925209984, 2207984167552, 3521614606208, 5455160701056, 8235430000000, 12151280273024, 17565568854912, 24928547056768

Offset

0,1

Links

Table of n, a(n) for n=0..20.

Index entries for linear recurrences with constant coefficients, signature (8,-28,56,-70,56,-28,8,-1).

Formula

From Amiram Eldar, Apr 21 2023: (Start)

a(n) = A016825(n)^7.

a(n) = 2^7*A016759(n).

Sum_{n>=0} 1/a(n) = 127*zeta(7)/16384.

Sum_{n>=0} (-1)^n/a(n) = 61*Pi^7/23592960. (End)

Mathematica

Table[(4*n + 2)^7, {n, 0, 20}] (* Amiram Eldar, Apr 21 2023 *)

Crossrefs

Cf. A013665, A016759, A016825.

Sequence in context: A222054 A338110 A283926 * A103348 A334669 A069446

Adjacent sequences: A016828 A016829 A016830 * A016832 A016833 A016834

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved