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Search: id:A060816
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| A060816 |
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a(n)=3*a(n-1) + 1; a(0)=1, a(1)=2. |
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+0
5
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| 1, 2, 7, 22, 67, 202, 607, 1822, 5467, 16402, 49207, 147622, 442867, 1328602, 3985807, 11957422, 35872267, 107616802, 322850407, 968551222, 2905653667, 8716961002, 26150883007, 78452649022, 235357947067, 706073841202
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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From Erich Friedman's math magic page 2nd paragraph under "Answers" section.
Except for the first term, a(n)=3*a(n-1)+1 (with a(1)=2) [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Oct 29 2009]
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LINKS
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Harry J. Smith, Table of n, a(n) for n=0,...,200
Erich Friedman, Math. Magic
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FORMULA
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For n>0: a(n) = (5*3^(n-1)-1)/2 = a(n-1)+5*3^(n-2) = (5*A003462(n)+1)/3 = a(n-1)+A005030(n-2) - Henry Bottomley (se16(AT)btinternet.com), May 01 2001
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PROGRAM
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(PARI) { for (n=0, 200, if (n>1, a1=a=3*a1 + 1, if (n==0, a=1, a1=a=2)); write("b060816.txt", n, " ", a); ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jul 13 2009]
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CROSSREFS
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Equals A057198 - 1.
Sequence in context: A084264 A088211 A071684 this_sequence A037552 A094618 A077833
Adjacent sequences: A060813 A060814 A060815 this_sequence A060817 A060818 A060819
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KEYWORD
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easy,nonn
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AUTHOR
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Jason Earls (zevi_35711(AT)yahoo.com), Apr 29 2001
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