A357586 Triangle read by rows. Convolution triangle of A002467 (number of permutations with fixpoints).

1, 0, 1, 0, 1, 1, 0, 4, 2, 1, 0, 15, 9, 3, 1, 0, 76, 38, 15, 4, 1, 0, 455, 198, 70, 22, 5, 1, 0, 3186, 1182, 378, 112, 30, 6, 1, 0, 25487, 8115, 2274, 629, 165, 39, 7, 1, 0, 229384, 63266, 15439, 3840, 965, 230, 49, 8, 1, 0, 2293839, 554656, 117921, 25966, 6006, 1401, 308, 60, 9, 1

Offset

0,8

Links

Table of n, a(n) for n=0..65.

Example

[0] 1;
[1] 0,      1;
[2] 0,      1,     1;
[3] 0,      4,     2,     1;
[4] 0,     15,     9,     3,    1;
[5] 0,     76,    38,    15,    4,   1;
[6] 0,    455,   198,    70,   22,   5,   1;
[7] 0,   3186,  1182,   378,  112,  30,   6,  1;
[8] 0,  25487,  8115,  2274,  629, 165,  39,  7,  1;
[9] 0, 229384, 63266, 15439, 3840, 965, 230, 49,  8,  1;

Maple

# Uses function PMatrix from A357368.
PMatrix(10, n -> simplify(GAMMA(n+1) - GAMMA(n+1, -1)*exp(-1)));

Crossrefs

Cf. A002467.

Sequence in context: A266921 A248721 A110324 * A266861 A265435 A277004

Adjacent sequences: A357583 A357584 A357585 * A357587 A357588 A357589

Keyword

nonn,tabl

Author

Peter Luschny, Oct 09 2022

Status

approved