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A020732 Pisot sequence T(4,7). 0
4, 7, 12, 20, 33, 54, 88, 143, 232, 376, 609, 986, 1596, 2583, 4180, 6764, 10945, 17710, 28656, 46367, 75024, 121392, 196417, 317810, 514228, 832039, 1346268, 2178308, 3524577, 5702886, 9227464, 14930351, 24157816, 39088168, 63245985, 102334154, 165580140 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..36.

FORMULA

Fib(n+5)-1. a(n) = 2a(n-1) - a(n-3).

MATHEMATICA

Join[{a=4, b=7}, Table[c=a+b+1; a=b; b=c, {n, 0, 60}]] [From Vladimir Joseph Stephan Orlovsky, 22 Nov 2010]

CROSSREFS

Subsequence of A000071. See A008776 for definitions of Pisot sequences.

Sequence in context: A097536 A022809 A188554 * A117949 A010901 A187211

Adjacent sequences:  A020729 A020730 A020731 * A020733 A020734 A020735

KEYWORD

nonn

AUTHOR

David W. Wilson

STATUS

approved

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Last modified May 19 02:47 EDT 2013. Contains 225428 sequences.