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

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

Offset: 0

Author

Henry Bottomley, Jun 06 2005

Keywords

• nonn

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.

Examples

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

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..1000
• D. Zagier, Problems posed at the St Andrews Colloquium, 1996.

Crossrefs

Cf. A014117, A108497, A108499.

Programs

Magma

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

Mathematica

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

Formula

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