A134297 a(n) = 107*n.

0, 107, 214, 321, 428, 535, 642, 749, 856, 963, 1070, 1177, 1284, 1391, 1498, 1605, 1712, 1819, 1926, 2033, 2140, 2247, 2354, 2461, 2568, 2675, 2782, 2889, 2996, 3103, 3210, 3317, 3424, 3531, 3638, 3745, 3852, 3959, 4066, 4173, 4280, 4387, 4494, 4601, 4708

Offset

0,2

Comments

For n > 0, a(n)^5 has a partition as the sum of fifth powers of five positive numbers: (107n)^5 = (7n)^5 + (43n)^5 + (57n)^5 + (80n)^5 + (100n)^5. [Corrected by Jianing Song, Jan 24 2020]

Links

Table of n, a(n) for n=0..44.

Index entries for linear recurrences with constant coefficients, signature (2,-1).

Formula

G.f.: 107*x/(-1+x)^2. - R. J. Mathar, Nov 14 2007

Example

107^5 = 7^5 + 43^5 + 57^5 + 80^5 + 100^5.

Mathematica

Table[107n, {n, 0, 30}]

Prog

(PARI) a(n) = 107*n \\ Jianing Song, Jan 24 2020

Crossrefs

Cf. A134298, A063923.

Without the initial 0, subsequence of A063922 (k such that k^5 = a^5+b^5+c^5+d^5+e^5, where at least two of a,b,c,d,e are nonzero).

Sequence in context: A142270 A044339 A044720 * A141996 A142844 A142914

Adjacent sequences: A134294 A134295 A134296 * A134298 A134299 A134300

Keyword

nonn

Author

Artur Jasinski, Oct 18 2007

Extensions

a(0) prepended by Jianing Song, Jan 24 2020

Status

approved