A060375 a(n) = (n+2)^(n+3) - n^(n+1).

8, 80, 1016, 15544, 278912, 5749176, 133937792, 3481019600, 99865782272, 3134941592320, 106893205379072, 3934237957322568, 155461102352433152, 6564470979327191336, 294992337083795013632, 14056516043712012100384

Offset

0,1

Comments

a(n) is divisible by 8. 2^(3+4k) divides a(4k) and a(4k+2). 8k divides a(4k-1). 4(4k+2) divides a(4k+1). - Alexander Adamchuk, Nov 18 2006

Links

Harry J. Smith, Table of n, a(n) for n = 0..100

Formula

a(n) = A007778(n+2) - A007778(n). - Alexander Adamchuk, Nov 18 2006

Example

a(1) = |0^1 - 2^3| = 8, a(2) = |1^2 - 3^4| = 80.

Mathematica

Table[(-n^(n+1)+(n+2)^(n+3)), {n, 0, 18}] (* Alexander Adamchuk, Nov 18 2006 *)
#[[3]]^#[[4]]-#[[1]]^#[[2]]&/@Partition[Range[0, 20], 4, 1] (* Harvey P. Dale, Oct 07 2023 *)

Prog

(PARI) { for (n=0, 100, write("b060375.txt", n, " ", (n + 2)^(n + 3) - n^(n + 1)); ) } \\ Harry J. Smith, Jul 04 2009

Crossrefs

Cf. A007778 (n^(n+1)).

Sequence in context: A051580 A228658 A234596 * A097815 A002718 A222825

Adjacent sequences: A060372 A060373 A060374 * A060376 A060377 A060378

Keyword

nonn

Author

Jason Earls, Apr 02 2001

Extensions

More terms from Larry Reeves (larryr(AT)acm.org), Apr 20 2001

Better description from Alexander Adamchuk, Nov 18 2006

Status

approved