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A218729 a(n) = (26^n-1)/25. 1
0, 1, 27, 703, 18279, 475255, 12356631, 321272407, 8353082583, 217180147159, 5646683826135, 146813779479511, 3817158266467287, 99246114928149463, 2580398988131886039, 67090373691429037015, 1744349715977154962391 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Partial sums of powers of 26 (A009970); q-integers for q=26.

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..700

Index entries related to partial sums.

Index entries for linear recurrences with constant coefficients, signature (27,-26).

FORMULA

G.f.: x/((1-x)*(1-26*x)). - Vincenzo Librandi, Nov 07 2012

a(n) = floor(26^n/25). - Vincenzo Librandi, Nov 07 2012

a(n) = 27*a(n-1) - 26*a(n-2). - Vincenzo Librandi, Nov 07 2012

MATHEMATICA

LinearRecurrence[{27, -26}, {0, 1}, 30] (* Vincenzo Librandi, Nov 07 2012 *)

PROG

(PARI) A218729(n)=26^n\25

(MAGMA) [n le 2 select n-1 else 27*Self(n-1)-26*Self(n-2): n in [1..20]]; // Vincenzo Librandi, Nov 07 2012

(Maxima) A218729(n):=(26^n-1)/25$

makelist(A218729(n), n, 0, 30); /* Martin Ettl, Nov 07 2012 */

CROSSREFS

Cf. similar sequences of the form (k^n-1)/(k-1): A000225, A003462, A002450, A003463, A003464, A023000, A023001, A002452, A002275, A016123, A016125, A091030, A135519, A135518, A131865, A091045, A218721, A218722, A064108, A218724-A218734, A132469, A218736-A218753, A133853, A094028, A218723.

Sequence in context: A170660 A170708 A170746 * A171332 A097781 A223656

Adjacent sequences:  A218726 A218727 A218728 * A218730 A218731 A218732

KEYWORD

nonn,easy

AUTHOR

M. F. Hasler, Nov 04 2012

STATUS

approved

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Last modified July 21 06:55 EDT 2019. Contains 325192 sequences. (Running on oeis4.)