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A218738 a(n) = (35^n-1)/34. 4
0, 1, 36, 1261, 44136, 1544761, 54066636, 1892332261, 66231629136, 2318107019761, 81133745691636, 2839681099207261, 99388838472254136, 3478609346528894761, 121751327128511316636, 4261296449497896082261 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Partial sums of powers of 35 (A009979).

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 (36,-35).

FORMULA

G.f.: x/((1-x)*(1-35*x)). - Vincenzo Librandi, Nov 07 2012

a(n) = 36*a(n-1) - 35*a(n-2). - Vincenzo Librandi, Nov 07 2012

a(n) = floor(35^n/34). - Vincenzo Librandi, Nov 07 2012

MATHEMATICA

LinearRecurrence[{36, -35}, {0, 1}, 30] (* Vincenzo Librandi, Nov 07 2012 *)

PROG

(PARI) A218738(n)=35^n\34

(MAGMA) [n le 2 select n-1 else 36*Self(n-1)-35*Self(n-2): n in [1..20]]; // Vincenzo Librandi, Nov 07 2012

(Maxima) A218738(n):=(35^n-1)/34$

makelist(A218738(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: A170669 A170717 A170755 * A158700 A144128 A223405

Adjacent sequences:  A218735 A218736 A218737 * A218739 A218740 A218741

KEYWORD

nonn,easy

AUTHOR

M. F. Hasler, Nov 04 2012

STATUS

approved

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Last modified August 14 09:27 EDT 2022. Contains 356110 sequences. (Running on oeis4.)