A014931 a(1)=1, a(n) = n*16^(n-1) + a(n-1).

1, 33, 801, 17185, 344865, 6636321, 124076833, 2271560481, 40926266145, 728121033505, 12822748939041, 223928981472033, 3883103678710561, 66933498461897505, 1147797409030816545, 19594541482740368161

Offset

1,2

Links

Table of n, a(n) for n=1..16.

Index entries for linear recurrences with constant coefficients, signature (33,-288,256).

Formula

G.f.: x/((1 - x)*(1 - 16*x)^2). - Stefano Spezia, Mar 11 2020

Mathematica

RecurrenceTable[{a[1]==1, a[n]==n*16^(n-1)+a[n-1]}, a, {n, 20}] (* Harvey P. Dale, Sep 17 2019 *)

Prog

(PARI) a(n) = (1+16^n*(15*n-1))/225; \\ Jinyuan Wang, Mar 11 2020

Crossrefs

Sequence in context: A164750 A100788 A051565 * A197358 A299074 A101632

Adjacent sequences: A014928 A014929 A014930 * A014932 A014933 A014934

Keyword

nonn,easy

Author

Olivier Gérard

Status

approved