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A015515
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a(1) = 1, a(n) = Sum_{k=1..n-1} ((12^k - 1)/11)*a(k).
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10
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1, 1, 14, 2212, 4171832, 94375183504, 25618521062894816, 83450744014073963641408, 3262026661649164626974053098368, 1530121919008888925087797696409496422656, 8612828743790947623482719127044813092555596516864
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OFFSET
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1,3
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LINKS
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FORMULA
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MATHEMATICA
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Join[{1}, RecurrenceTable[{a[2]==1, a[n]==(12^(n-1)+10)/11 a[n-1]}, a, {n, 12}]] (* Harvey P. Dale, Mar 10 2013 *)
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PROG
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(Magma) [n le 2 select 1 else ((12^(n-1) + 10)/11) * Self(n-1): n in [1..15]]; // Vincenzo Librandi, Nov 12 2012
(SageMath)
return 1 if (n<3) else (m^(n-1)+m-2)*a(n-1, m)//(m-1)
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CROSSREFS
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Sequences with the recurrence a(n) = (m^(n-1) + m-2)*a(n-1)/(m-1): A036442 (m=2), A015502 (m=3), A015503 (m=4), A015506 (m=5), A015507 (m=6), A015508 (m=7), A015509 (m=8), A015511 (m=9), A015512 (m=10), A015513 (m=11), this sequence (m=12).
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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