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A066982 Lucas(n+1) - (n+1). +0
2
1, 1, 3, 6, 12, 22, 39, 67, 113, 188, 310, 508, 829, 1349, 2191, 3554, 5760, 9330, 15107, 24455, 39581, 64056, 103658, 167736, 271417, 439177, 710619, 1149822, 1860468, 3010318, 4870815, 7881163, 12752009, 20633204, 33385246, 54018484 (list; graph; listen)
OFFSET

1,3

FORMULA

a(1) = a(2) = 1, a(n + 2) = a(n + 1) + a(n) + n.

For n>2, a(n) = floor( PHI^(n+1)-(n+1)) + (1-(-1)^n)/2

MATHEMATICA

a[1] = a[2] = 1; a[n_] := a[n] = a[n - 1] + a[n - 2] + n - 2; Table[a[n], {n, 40}]

CROSSREFS

Sequence in context: A139422 A062483 A081056 this_sequence A018078 A005404 A097939

Adjacent sequences: A066979 A066980 A066981 this_sequence A066983 A066984 A066985

KEYWORD

nonn

AUTHOR

Benoit Cloitre (benoit7848c(AT)orange.fr), Jan 27 2002

EXTENSIONS

Corrected and extended by Harvey P. Dale (hpd1(AT)nyu.edu), Feb 08 2002

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.


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