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A218738
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a(n) = (35^n-1)/34.
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4
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0, 1, 36, 1261, 44136, 1544761, 54066636, 1892332261, 66231629136, 2318107019761, 81133745691636, 2839681099207261, 99388838472254136, 3478609346528894761, 121751327128511316636, 4261296449497896082261
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OFFSET
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0,3
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COMMENTS
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Partial sums of powers of 35 (A009979).
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LINKS
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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).
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FORMULA
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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
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MATHEMATICA
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LinearRecurrence[{36, -35}, {0, 1}, 30] (* Vincenzo Librandi, Nov 07 2012 *)
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PROG
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(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 */
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CROSSREFS
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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
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KEYWORD
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nonn,easy
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AUTHOR
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M. F. Hasler, Nov 04 2012
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STATUS
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approved
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