A381160 a(n) is the permanent of the n X n matrix whose element (i,j) is equal to A008277(i+3, j) with 1 <= i,j <= n.

1, 1, 22, 3206, 1902936, 3504528354, 16660734321540, 179059038168086056, 3938830136216956996632, 164125096331945477980176920, 12173562237817299484378342192768, 1527294306324982018922212102518520032, 310564445230567070838152555220146533261496, 98712056006032672983172826864304778359411112064

Offset

0,3

Links

Table of n, a(n) for n=0..13.

Example

a(3) = 3206:
  [1,  7,  6]
  [1, 15, 25]
  [1, 31, 90]

Mathematica

a[n_]:=Permanent[Table[StirlingS2[i+3, j], {i, n}, {j, n}]]; Join[{1}, Array[a, 13]]

Prog

(PARI) a(n) = matpermanent(matrix(n, n, i, j, stirling(i+3, j, 2))); \\ Michel Marcus, Feb 16 2025

Crossrefs

Cf. A000442 (determinant), A008277, A381166.

Sequence in context: A078275 A200805 A128854 * A114942 A155885 A362901

Adjacent sequences: A381157 A381158 A381159 * A381161 A381162 A381163

Keyword

nonn

Author

Stefano Spezia, Feb 15 2025

Status

approved