A170757 Expansion of g.f.: (1+x)/(1-37*x).

1, 38, 1406, 52022, 1924814, 71218118, 2635070366, 97497603542, 3607411331054, 133474219248998, 4938546112212926, 182726206151878262, 6760869627619495694, 250152176221921340678, 9255630520211089605086, 342458329247810315388182

Offset

0,2

Links

G. C. Greubel, Table of n, a(n) for n = 0..634

Index entries for linear recurrences with constant coefficients, signature (37).

Formula

a(n) = Sum_{k=0..n} A097805(n,k)*(-1)^(n-k)*38^k. - Philippe Deléham, Dec 04 2009

a(0) = 1; for n>0, a(n) = 38*37^(n-1). - Vincenzo Librandi, Dec 05 2009

E.g.f.: (1/37)*(38*exp(37*x) - 1). - Stefano Spezia, Oct 09 2019

Maple

k:=38; seq(`if`(n=0, 1, k*(k-1)^(n-1)), n = 0..25); # G. C. Greubel, Oct 09 2019

Mathematica

With[{k = 38}, Table[If[n==0, 1, k*(k-1)^(n-1)], {n, 0, 25}]] (* G. C. Greubel, Oct 09 2019 *)

Prog

(PARI) vector(26, n, k=38; if(n==1, 1, k*(k-1)^(n-2))) \\ G. C. Greubel, Oct 09 2019
(Magma) k:=38; [1] cat [k*(k-1)^(n-1): n in [1..25]]; // G. C. Greubel, Oct 09 2019
(Sage) k=38; [1]+[k*(k-1)^(n-1) for n in (1..25)] # G. C. Greubel, Oct 09 2019
(GAP) k:=38;; Concatenation([1], List([1..25], n-> k*(k-1)^(n-1) )); # G. C. Greubel, Oct 09 2019

Crossrefs

Cf. A003945.

Sequence in context: A170623 A170671 A170719 * A218740 A158702 A239364

Adjacent sequences: A170754 A170755 A170756 * A170758 A170759 A170760

Keyword

nonn,easy

Author

N. J. A. Sloane, Dec 04 2009

Status

approved