A366489 a(n) = (n^13 - n)/13.

0, 0, 630, 122640, 5162220, 93900240, 1004668770, 7453000800, 42288908760, 195528140640, 769230769230, 2655593241840, 8230246567620, 23298085122480, 61054982558010, 149707312950720, 346430740566960, 761890617915840, 1601766528128550, 3234844881712080

Offset: 0

Author

N. J. A. Sloane, Nov 13 2023

Keywords

• nonn
• easy

Comments

See A366488 for further information.

Links

• Stefano Spezia, Table of n, a(n) for n = 0..10000
• Jack Jeffries, Differentiating by prime numbers, Notices Amer. Math. Soc., 70:11 (2023), 1772-1779.
• Index entries for linear recurrences with constant coefficients, signature (14,-91,364,-1001,2002,-3003,3432,-3003,2002,-1001,364,-91,14,-1).

Crossrefs

Cf. A000217, A007290, A208536, A208537, A366488, A366490, A366491.

Programs

Mathematica

A366489[n_]:=(n^13-n)/13; Array[A366489,30,0] (* Paolo Xausa, Nov 14 2023 *)

Formula

a(n) == 0 (mod 210). - Hugo Pfoertner, Nov 14 2023