A393240 a(n) is the permanent of the n-th order Hankel matrix whose generic element is given by A000045(i+j-1) with i,j = 1, ..., n.

1, 1, 3, 44, 2226, 375300, 198868320, 322849587840, 1569625595850816, 22497082222019590080, 938471411713539080412000, 112789753044432055993067184000, 38727073372737441897311068677012480, 37722551155627113685247142613962159498240, 103616308918725552841715189312497403147542195200

Offset

0,3

Comments

The Hankel transform of A000045 has the following polynomial as g.f. 1 + x + x^2: the matrices are singular for n > 2.

Links

Table of n, a(n) for n=0..14.

N. J. A. Sloane, Transforms.

Example

a(3) = 44:
  [1  1  2]
  [1  2  3]
  [2  3  5]

Mathematica

a[0]=1; a[n_]:=Permanent[Table[Fibonacci[i+j-1], {i, 1, n}, {j, 1, n}]]; Array[a, 15, 0]

Prog

(PARI) a(n) = matpermanent(matrix(n, n, i, j, fibonacci(i+j-1))); \\ Michel Marcus, Mar 19 2026

Crossrefs

Cf. A000045, A120297, A374668.

Sequence in context: A337249 A259785 A369944 * A193623 A102811 A307007

Adjacent sequences: A393237 A393238 A393239 * A393241 A393242 A393243

Keyword

nonn

Author

Stefano Spezia, Mar 14 2026

Status

approved