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A124975
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Table (read by antidiagonals): t(1,n) = t(m,1) = 1 for all m and n. t(m,n) = (product{k=1 to m-1} t(k,n)) + (product{k=1 to n-1} t(m,k)).
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2
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1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 7, 6, 7, 1, 1, 43, 25, 25, 43, 1, 1, 1807, 493, 350, 493, 1807, 1, 1, 3263443, 223657, 82449, 82449, 223657, 3263443, 1, 1, 10650056950807, 49621568893, 5454149449, 3495672702, 5454149449, 49621568893
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,5
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EXAMPLE
| t(3,4) = t(1,4)*t(2,4) + t(3,1)*t(3,2)*t(3,3) = 1*7 + 1*3*6 = 25.
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MATHEMATICA
| t[m_, n_] := t[m, n] = If[m == 1 || n == 1, 1, Product[t[k, n], {k, m - 1}] + Product[t[m, j], {j, n - 1}]]; Flatten@Table[t[d + 1 - j, j], {d, 9}, {j, d}] (*Chandler*)
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CROSSREFS
| Cf. A124976.
Sequence in context: A061554 A088326 A181039 * A171246 A129439 A176469
Adjacent sequences: A124972 A124973 A124974 * A124976 A124977 A124978
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KEYWORD
| easy,nonn,tabl
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AUTHOR
| Leroy Quet, Nov 14 2006
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EXTENSIONS
| Extended by Ray Chandler (rayjchandler(AT)sbcglobal.net), Nov 19 2006
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