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A178513 Partial sums of 80^n 1
1, 81, 6481, 518481, 41478481, 3318278481, 265462278481, 21236982278481, 1698958582278481, 135916686582278481, 10873334926582278481, 869866794126582278481, 69589343530126582278481 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Related to backward decimal expansion of fraction 1/79 and Pell numbers. [In which way? Joerg Arndt, May 17 2011]

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..150

Index entries for linear recurrences with constant coefficients, signature (81,-80).

FORMULA

a(n) = 80*a(n-1) + 1.

G.f.: 1/((1-80*x)*(1-x)).

a(n)= (80^n-1)/79, with n>=1 [From Paolo P. Lava, Jun 10 2010]

MATHEMATICA

Accumulate[80^Range[0, 20]] (* Harvey P. Dale, Aug 11 2014 *)

CROSSREFS

Cf. A000129, A021083, A038207, A178510, A178511, A178512

Sequence in context: A205199 A250612 A228974 * A016948 A206993 A223791

Adjacent sequences:  A178510 A178511 A178512 * A178514 A178515 A178516

KEYWORD

nonn,easy

AUTHOR

Mark Dols, May 29 2010

STATUS

approved

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Last modified December 4 02:40 EST 2021. Contains 349469 sequences. (Running on oeis4.)