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A014943 a(1)=1, a(n)=n*25^(n-1)+a(n-1). 2
1, 51, 1926, 64426, 2017551, 60611301, 1769595676, 50597720676, 1423888736301, 39570861392551, 1088612609439426, 29698842101626926, 804559224181705051, 21666184895568423801, 580459729664855533176 (list; graph; refs; listen; history; text; internal format)
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(n)=(1/576)*[1+25^n*(24*n-1)], with n>=1 [From Paolo P. Lava, Jan 13 2009]

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

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Last modified December 7 20:04 EST 2021. Contains 349585 sequences. (Running on oeis4.)