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 A080955 Square array of numbers related to the incomplete gamma function, read by antidiagonals. 6
 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; refs; listen; history; text; internal format)
 OFFSET 0,5 LINKS FORMULA T(k,n) = n! * Sum{j=0..n} k^j/j!. E.g.f. of k-th row: exp(k*x)/(1-x). T(k,n) = A089258(n,k). EXAMPLE Array begins: k=0: 1 1 2 6 24 ... k=1: 1 2 5 16 65 ... k=2: 1 3 10 38 168 ... k=3: 1 4 17 78 393 ... k=4: 1 5 26 142 824 ... ... MATHEMATICA T[0, k_] := k!; T[n_, k_] := k!*Sum[n^j/j!, {j, 0, k}]; Table[T[n-k, k], {n, 0, 10}, {k, 0, n}] // Flatten (* Jean-François Alcover, Jan 17 2018 *) CROSSREFS Rows: A000142, A000522, A010842, A053486, A053487, A080954. Transposed version: A089258. Sequence in context: A095788 A071944 A309495 * A125231 A117919 A309106 Adjacent sequences:  A080952 A080953 A080954 * A080956 A080957 A080958 KEYWORD easy,nonn,tabl AUTHOR Paul Barry, Feb 26 2003 EXTENSIONS Corrected by Philippe Deléham, Dec 12 2003 STATUS approved

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Last modified May 30 09:19 EDT 2020. Contains 334717 sequences. (Running on oeis4.)