A108496 a(n) = (n^43 - n)/42.

0, 0, 209430786243, 7815642080822311372, 1842172677508006361457030, 27068294695622864223661876860, 68747114771196346634599779308105, 51995580380757061883555053636996008

Offset

0,3

Comments

Also integer sequences for (n^2-n)/1 (A002378 offset), (n^3-n)/2 (A027480 offset), (n^7-n)/6 (A108495) and (n^1807-n)/1806.

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

D. Zagier, Problems posed at the St Andrews Colloquium, 1996.

Formula

a(n) = (n-1)*A108048(n).

Example

a(2) = (2^43 - 2)/42 = 8796093022206/42 = 209430786243.

Mathematica

Table[(n^43-n)/42, {n, 0, 10}] (* Harvey P. Dale, Jan 31 2022 *)

Prog

(Magma) [(n^43-n)/42: n in [0..20]]; // Vincenzo Librandi, May 02 2011

Crossrefs

Cf. A014117, A108497, A108499.

Sequence in context: A144173 A127343 A108048 * A185430 A221263 A172614

Adjacent sequences: A108493 A108494 A108495 * A108497 A108498 A108499

Keyword

nonn

Author

Henry Bottomley, Jun 06 2005

Status

approved