A084096 Fifth row of number array A084061.

1, 1, 8, 63, 656, 8525, 133120, 2430547, 50839808, 1199150649, 31495553024, 911770726823, 28846956187648, 990358890251653, 36670756251238400, 1456804472261953275, 61808742217201811456, 2789456491560247772657

Offset

0,3

Links

G. C. Greubel, Table of n, a(n) for n = 0..300

Formula

a(n) = ((n - sqrt(4))^n + (n + sqrt(4))^n)/2 = ((n+2)^n + (n-2)^n)/2.

Maple

seq( ((n-2)^n + (n+2)^n)/2, n=0..20); # G. C. Greubel, Jan 11 2020

Mathematica

Table[((n+2)^n + (n-2)^n)/2, {n, 0, 20}] (* G. C. Greubel, Jan 11 2020 *)

Prog

(PARI) vector(21, n, ((n-3)^(n-1) + (n+1)^(n-1))/2 ) \\ G. C. Greubel, Jan 11 2020
(Magma) [((n-2)^n + (n+2)^n)/2: n in [0..20]]; // G. C. Greubel, Jan 11 2020
(Sage) [((n-2)^n + (n+2)^n)/2 for n in (0..20)] # G. C. Greubel, Jan 11 2020
(GAP) List([0..20], n-> ((n-2)^n + (n+2)^n)/2); # G. C. Greubel, Jan 11 2020

Crossrefs

Cf. A084061, A084062, A084063, A084064, A084065, A084095.

Sequence in context: A037205 A302399 A356337 * A361238 A353993 A189943

Adjacent sequences: A084093 A084094 A084095 * A084097 A084098 A084099

Keyword

easy,nonn

Author

Paul Barry, May 11 2003

Status

approved