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A218736 a(n) = (33^n-1)/32. 31
0, 1, 34, 1123, 37060, 1222981, 40358374, 1331826343, 43950269320, 1450358887561, 47861843289514, 1579440828553963, 52121547342280780, 1720011062295265741, 56760365055743769454, 1873092046839544391983 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Partial sums of powers of 33 (A009977).

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..600

Index entries related to partial sums.

Index entries related to q-numbers.

Index entries for linear recurrences with constant coefficients, signature (34,-33).

FORMULA

G.f.: x/((1-x)*(1-33*x)). - Vincenzo Librandi, Nov 07 2012

a(n) = 34*a(n-1) - 33*a(n-2). - Vincenzo Librandi, Nov 07 2012

a(n) = floor(33^n/32). - Vincenzo Librandi, Nov 07 2012

MATHEMATICA

LinearRecurrence[{34, -33}, {0, 1}, 30] (* Vincenzo Librandi, Nov 07 2012 *)

PROG

(PARI) A218736(n)=33^n>>5

(MAGMA) [n le 2 select n-1 else 34*Self(n-1)-33*Self(n-2): n in [1..20]]; // Vincenzo Librandi, Nov 07 2012

(Maxima) A218736(n):=(33^n-1)/32$

makelist(A218736(n), n, 0, 30); /* Martin Ettl, Nov 05 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, A218737-A218753, A133853, A094028, A218723.

Sequence in context: A170667 A170715 A170753 * A248163 A158696 A029547

Adjacent sequences:  A218733 A218734 A218735 * A218737 A218738 A218739

KEYWORD

nonn,easy

AUTHOR

M. F. Hasler, Nov 04 2012

STATUS

approved

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Last modified May 23 04:59 EDT 2019. Contains 323508 sequences. (Running on oeis4.)