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A088981
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a(n+2) = a(n+1) + a(n) - [(2*n)+1] where a(0)=7, a(1)=11.
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1
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7, 11, 17, 25, 37, 55, 83, 127, 197, 309, 489, 779, 1247, 2003, 3225, 5201, 8397, 13567, 21931, 35463, 57357, 92781, 150097, 242835, 392887, 635675, 1028513, 1664137, 2692597, 4356679, 7049219, 11405839, 18454997
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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REFERENCES
| J. Baylis and R. Haggarty, Alice in Numberland, A Student's Guide to the Enjoyment of Higher Mathematics, Macmillan Education 1988.
G. Buckwell, Mastering Mathematics, Palgrave Master Series, 2nd Ed. 1997.
R. P. C. Forman, Additional Mathematics Pure & Applied, Stanley Thornes, 1989.
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LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (3,-2,-1,1).
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FORMULA
| a(n) = [(2*(alpha^(n+3))) - (2*(beta^(n+3))) + ((2*sqrt5)*n) + (3*sqrt5)] / (sqrt5) where alpha = (1 + sqrt5) / 2 and beta = (1 - sqrt5) / 2.
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PROG
| (PARI) a=[7, 11]; for(n=2, 10, a=concat(a, a[#a]+a[#a-1]-2*n+3)); a
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CROSSREFS
| Sequence in context: A046132 A162337 A056687 * A021014 A021013 A156105
Adjacent sequences: A088978 A088979 A088980 * A088982 A088983 A088984
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KEYWORD
| easy,nonn
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AUTHOR
| Kurmang. Aziz. Rashid (Kurmang.Rashid(AT)Btopenworld.com), Dec 01 2003
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