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Search: id:A122189
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| A122189 |
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Heptanacci numbers: each term is the sum of the preceding 7 terms, with a(0),...,a(6) = 0,0,0,0,0,0,1. |
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+0
2
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| 0, 0, 0, 0, 0, 0, 1, 1, 2, 4, 8, 16, 32, 64, 127, 253, 504, 1004, 2000, 3984, 7936, 15808, 31489, 62725, 124946, 248888, 495776, 987568, 1967200, 3918592, 7805695, 15548665, 30972384, 61695880, 122895984, 244804400, 487641600, 971364608
(list; graph; listen)
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OFFSET
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1,9
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COMMENT
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See A066178 (essentially the same sequence) for more about the heptanacci numbers and other generalizations of the Fibonacci numbers (A000045).
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FORMULA
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G.f.: x^7/(1-x-x^2-x^3-x^4-x^5-x^6-x^7). - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 13 2009.
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MATHEMATICA
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a=0; b=0; c=0; d=0; e=0; f=0; g=1; lst={a, b, c, d, e, f, g}; Do[h=a+b+c+d+e+f+g; AppendTo[lst, h]; a=b; b=c; c=d; d=e; e=f; f=g; g=h, {n, 5!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Sep 30 2008]
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CROSSREFS
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Cf. A000045, A066178, A000322, A001591, A001592.
Sequence in context: A062257 A062258 A066178 this_sequence A133024 A060376 A047869
Adjacent sequences: A122186 A122187 A122188 this_sequence A122190 A122191 A122192
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KEYWORD
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nonn
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AUTHOR
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Roger Bagula and Gary Adamson (qntmpkt(AT)yahoo.com), Oct 18 2006
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EXTENSIONS
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Edited by N. J. A. Sloane (njas(AT)research.att.com), Nov 20 2007
Removed wrong Binet-type formula R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 13 2009
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