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Search: id:A080955
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| A080955 |
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Square array of numbers related to the incomplete gamma function, read by antidiagonals. |
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+0
4
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| 1, 1, 1, 1, 2, 2, 1, 3, 5, 6, 1, 4, 10, 16, 24, 1, 5, 17, 38, 65, 120, 1, 6, 26, 78, 168, 326, 720, 1, 7, 37, 142, 393, 872, 1957, 5040, 1, 8, 50, 236, 824, 2208, 5296, 13700, 40320, 1, 9, 65, 366, 1569, 5144, 13977, 37200, 109601, 362880, 1, 10, 82, 538, 2760, 10970, 34960, 100026
(list; table; graph; listen)
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OFFSET
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0,5
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COMMENT
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Rows include A000142, A000522, A010842, A053486, A053487, A080954.
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FORMULA
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T(n, k) = n!Sum{j=0..n, k^j/j!}. Rows have E.g.f. exp(k*x)/(1-x).
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EXAMPLE
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Rows begin 1 1 2 6 24 ... 1 2 5 16 65 ... 1 3 10 38 168 ... 1 4 17 78 393 ... 1 5 26 142 824 ...
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CROSSREFS
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Sequence in context: A076038 A095788 A071944 this_sequence A125231 A117919 A068956
Adjacent sequences: A080952 A080953 A080954 this_sequence A080956 A080957 A080958
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KEYWORD
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easy,nonn,tabl
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Feb 26 2003
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EXTENSIONS
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Corrected by DELEHAM Philippe (kolotoko(AT)wanadoo.fr), Dec 12 2003
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