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A117715 Triangle based on expansion x/(1-m*x-x^2)=Sum[Fibonacci[n,m]*x^n/n!,{n,0,Infinity}]. +0
3
0, 1, 1, 0, 1, 2, 1, 2, 5, 10, 0, 3, 12, 33, 72, 1, 5, 29, 109, 305, 701, 0, 8, 70, 360, 1292, 3640, 8658, 1, 13, 169, 1189, 5473, 18901, 53353, 129949, 0, 21, 408, 3927, 23184, 98145, 328776, 927843, 2298912, 1, 34, 985, 12970, 98209, 509626, 2026009 (list; table; graph; listen)
OFFSET

0,6

REFERENCES

Steven Wolfram, The Mathematica Book,Cambridge University Press, 3rd ed. 1996, page 728

FORMULA

a(n,m) = Fibonacci[n,m]

EXAMPLE

0

1, 1

0, 1, 2

1, 2, 5, 10

0, 3, 12, 33, 72

1, 5, 29, 109, 305, 701

0, 8, 70, 360, 1292, 3640, 8658

1, 13, 169, 1189, 5473, 18901, 53353, 129949

MAPLE

with(combinat):for n from 0 to 9 do seq(fibonacci(n, m), m = 0 .. n) od; - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 09 2008

MATHEMATICA

a = Table[Table[Fibonacci[n, m], {m, 0, n}], {n, 0, 10}] Flatten[a]

CROSSREFS

Cf. A000045, A117716.

Cf. A073133.

Sequence in context: A006702 A129394 A049901 this_sequence A107087 A115141 A031148

Adjacent sequences: A117712 A117713 A117714 this_sequence A117716 A117717 A117718

KEYWORD

nonn,uned,tabl

AUTHOR

Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Apr 13 2006

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.


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