A366491 a(n) = (n^19 - n)/19.

0, 0, 27594, 61171656, 14467258260, 1003867701480, 32071565263710, 599941851861744, 7585009898729256, 71097458824894320, 526315789473684210, 3218899497284976120, 16814736808980154044, 76943173177655058456, 314542313628890231430, 1166756747396368729440, 3976729669784964390480, 12582759772902701307744, 37275544492386193492506, 104127350297911241532840, 275941052631578947368420

Offset

0,3

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 (20, -190, 1140, -4845, 15504, -38760, 77520, -125970, 167960, -184756, 167960, -125970, 77520, -38760, 15504, -4845, 1140, -190, 20, -1).

Formula

a(n) = 0 (mod 42), with 42 = A110936(primepi(19)). - Hugo Pfoertner, Nov 14 2023

Mathematica

A366491[n_]:=(n^19-n)/19; Array[A366491, 30, 0] (* Paolo Xausa, Nov 15 2023 *)

Crossrefs

Cf. A000217, A007290, A110936, A208536, A208537, A366488, A366489, A366490.

Sequence in context: A206364 A224110 A251958 * A025298 A025317 A025299

Adjacent sequences: A366488 A366489 A366490 * A366492 A366493 A366494

Keyword

nonn,easy

Author

N. J. A. Sloane, Nov 13 2023

Status

approved