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A201165
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Triangle read by rows: Pascal's triangle (A007318) times the Fibonacci triangle (A139375).
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2
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1, 2, 1, 5, 4, 1, 13, 14, 6, 1, 34, 48, 27, 8, 1, 89, 166, 111, 44, 10, 1, 233, 587, 443, 210, 65, 12, 1, 610, 2138, 1761, 941, 353, 90, 14, 1, 1597, 8046, 7059, 4101, 1752, 548, 119, 16, 1, 4181, 31285, 28701, 17697, 8289, 2984, 803, 152, 18, 1, 10946, 125396, 118631, 76342, 38233, 15231, 4761, 1126, 189, 20, 1
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,2
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LINKS
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FORMULA
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EXAMPLE
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Triangle begins:
1
2 1
5 4 1
13 14 6 1
34 48 27 8 1
89 166 111 44 10 1
233 587 443 210 65 12 1
...
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MAPLE
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add( binomial(n, j)*A139375(j, k), j=k..n) ;
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MATHEMATICA
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F[n_, k_] := If[k == 0, Fibonacci[n+1], k Sum[Fibonacci[i+1] Binomial[2(n-i)-k-1, n-i-1]/(n-i), {i, 0, n-k}]];
T[n_, k_] := Sum[Binomial[n, j] F[j, k], {j, k, n}];
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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