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A361042 Triangle read by rows: T(n, k) = Sum_{j=0..n} j! * binomial(n - j, n - k). 0
1, 1, 2, 1, 3, 4, 1, 4, 7, 10, 1, 5, 11, 17, 34, 1, 6, 16, 28, 51, 154, 1, 7, 22, 44, 79, 205, 874, 1, 8, 29, 66, 123, 284, 1079, 5914, 1, 9, 37, 95, 189, 407, 1363, 6993, 46234, 1, 10, 46, 132, 284, 596, 1770, 8356, 53227, 409114, 1, 11, 56, 178, 416, 880, 2366, 10126, 61583, 462341, 4037914 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
0,3
LINKS
EXAMPLE
Triangle T(n, k) starts:
[0] 1;
[1] 1, 2;
[2] 1, 3, 4;
[3] 1, 4, 7, 10;
[4] 1, 5, 11, 17, 34;
[5] 1, 6, 16, 28, 51, 154;
[6] 1, 7, 22, 44, 79, 205, 874;
[7] 1, 8, 29, 66, 123, 284, 1079, 5914;
[8] 1, 9, 37, 95, 189, 407, 1363, 6993, 46234;
[9] 1, 10, 46, 132, 284, 596, 1770, 8356, 53227, 409114.
CROSSREFS
Cf. A003422 (main diagonal), A014144 (subdiagonal), A152689, A233449 (row sums), A133942 (alternating row sums), A293468 (central row).
Sequence in context: A008949 A076832 A078925 * A072506 A188236 A181851
KEYWORD
nonn,tabl
AUTHOR
Peter Luschny, Mar 13 2023
STATUS
approved

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Last modified April 23 10:13 EDT 2024. Contains 371905 sequences. (Running on oeis4.)