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A100532
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The first four numbers of this sequence are the primes 2,3,5,7. The other terms are calculated by adding the previous four terms.
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2, 3, 5, 7, 17, 32, 61, 117, 227, 437, 842, 1623, 3129, 6031, 11625, 22408, 43193, 83257, 160483, 309341, 596274, 1149355, 2215453, 4270423, 8231505, 15866736, 30584117, 58952781, 113635139, 219038773, 422210810, 813837503, 1568722225, 3023809311, 5828579849
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (1,1,1,1)
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FORMULA
| a(n) = a(n-1) + a(n-2) + a(n-3) + a(n-4) where n >= 5 and a(1)=2, a(2)=3, a(3) = 5 and a(4) = 7.
G.f.: x*(x-1)*(3*x^2+3*x+2) / ( -1+x+x^2+x^3+x^4 ). - R. J. Mathar, Feb 03 2011
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EXAMPLE
| The fifth term is 2+3+5+7 = 17.
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CROSSREFS
| Sequence in context: A143027 A001153 A141453 * A040149 A168034 A034970
Adjacent sequences: A100529 A100530 A100531 * A100533 A100534 A100535
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KEYWORD
| easy,nonn
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AUTHOR
| Parthasarathy Nambi (PachaNambi(AT)yahoo.com), Nov 24 2004
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