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Search: id:A126019
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| A126019 |
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a(0)=1, a(1)=2; for n>1, a(n)=3*a(n-1)+4*a(n-2)+5. |
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+0
1
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| 1, 2, 15, 58, 239, 954, 3823, 15290, 61167, 244666, 978671, 3914682, 15658735, 62634938, 250539759, 1002159034, 4008636143, 16034544570, 64138178287, 256552713146, 1026210852591, 4104843410362, 16419373641455, 65677494565818
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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First prime terms are a(n) with a = 1, 4, 6, 18, 88.
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LINKS
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Zerinvary Lajos, Sage Notebooks
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FORMULA
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a(n)=(28*4^n + 27(-1)^n - 25)/30, n=0,1,.. . G.f. = (1 - 2*x + 6*x^2)/(1 - 4*x - x^2 + 4*x^3)
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PROGRAM
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sage: from sage.combinat.sloane_functions import recur_gen2b sage: it = recur_gen2b(1, 2, 3, 4, lambda n: 5) sage: [it.next() for i in range(24)] - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jul 16 2008
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CROSSREFS
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Sequence in context: A056078 A088979 A034571 this_sequence A071237 A006470 A084169
Adjacent sequences: A126016 A126017 A126018 this_sequence A126020 A126021 A126022
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KEYWORD
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nonn
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AUTHOR
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Zak Seidov (zakseidov(AT)gmail.com), Feb 26 2007
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