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Search: id:A036355
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| A036355 |
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Fibonacci-Pascal triangle read by rows. |
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+0
6
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| 1, 1, 1, 2, 2, 2, 3, 5, 5, 3, 5, 10, 14, 10, 5, 8, 20, 32, 32, 20, 8, 13, 38, 71, 84, 71, 38, 13, 21, 71, 149, 207, 207, 149, 71, 21, 34, 130, 304, 478, 556, 478, 304, 130, 34, 55, 235, 604, 1060, 1390, 1390, 1060, 604, 235, 55, 89, 420, 1177, 2272, 3310, 3736, 3310
(list; table; graph; listen)
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OFFSET
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0,4
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FORMULA
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T(n, m)=T'(n-1, m-1)+T'(n-2, m-2)+T'(n-1, m)+T'(n-2, m), where T'(n, m)=T(n, m) if 0<=m<=n and n >= 0 and T'(n, m)=0 otherwise. Initial term T(0, 0)=1.
G.f.: 1/(1-(1+y)*x-(1+y^2)*x^2). - Vladeta Jovovic (vladeta(AT)eunet.rs), Oct 11 2003
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EXAMPLE
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1; 1,1; 2,2,2; 3,5,5,3; 5,10,14,10,5; ...
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CROSSREFS
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Row sums form sequence A002605. T(n, 0) forms the Fibonacci sequence (A000045). T(n, 1) forms sequence A001629.
Derived sequences: A036681, A036682, A036683, A036684, A036692.
Sequence in context: A114639 A071867 A126337 this_sequence A095972 A091974 A029073
Adjacent sequences: A036352 A036353 A036354 this_sequence A036356 A036357 A036358
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KEYWORD
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nonn,tabl,easy,nice
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AUTHOR
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Floor van Lamoen (fvlamoen(AT)hotmail.com), Dec 28 1998
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