A014934 a(1)=1, a(n)=n*17^(n-1)+a(n-1).

1, 35, 902, 20554, 438159, 8957301, 177920284, 3460629668, 66242446637, 1252121211607, 23428054116546, 434690809808142, 8008779893795035, 146672872354478153, 2672340270745492088, 48471109094902544776, 875711370981239308953

Offset

1,2

Links

Colin Barker, Table of n, a(n) for n = 1..811

Index entries for linear recurrences with constant coefficients, signature (35,-323,289).

Formula

a(n) = 35*a(n-1)-323*a(n-2)+289*a(n-3). - Colin Barker, Dec 17 2014

G.f.: -x / ((x-1)*(17*x-1)^2). - Colin Barker, Dec 17 2014

E.g.f.: (exp(x) + (272*x-1)*exp(17*x))/256. - Robert Israel, Dec 17 2014

Prog

(PARI) Vec(-x/((x-1)*(17*x-1)^2) + O(x^100)) \\ Colin Barker, Dec 17 2014

Crossrefs

Sequence in context: A062194 A004372 A080250 * A115473 A002453 A240826

Adjacent sequences: A014931 A014932 A014933 * A014935 A014936 A014937

Keyword

nonn,easy

Author

Olivier Gérard

Status

approved