A014943 a(1)=1, a(n)=n*25^(n-1)+a(n-1).

1, 51, 1926, 64426, 2017551, 60611301, 1769595676, 50597720676, 1423888736301, 39570861392551, 1088612609439426, 29698842101626926, 804559224181705051, 21666184895568423801, 580459729664855533176

Offset

1,2

Links

Table of n, a(n) for n=1..15.

Index entries for linear recurrences with constant coefficients, signature (51, -675, 625).

Formula

a(1)=1, a(2)=51, a(3)=1926, a(n)=51*a(n-1)-675*a(n-2)+625*a(n-3). - Harvey P. Dale, Dec 16 2012

Mathematica

RecurrenceTable[{a[1]==1, a[n]==n*25^(n-1)+a[n-1]}, a, {n, 20}] (* or *)
LinearRecurrence[{51, -675, 625}, {1, 51, 1926}, 20] (* Harvey P. Dale, Dec 16 2012 *)

Crossrefs

Sequence in context: A017714 A202044 A238319 * A278623 A288604 A278305

Adjacent sequences: A014940 A014941 A014942 * A014944 A014945 A014946

Keyword

nonn,easy

Author

Olivier Gérard

Status

approved