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 A320845 Permanent of the n X n symmetric Pascal matrix S(i, j) = A007318(i + j - 2, i - 2). 1
 1, 3, 35, 1625, 301501, 223727931, 664027495067, 7882889445845553, 374307461786150039341, 71094317517818229430634443, 54016473080283197162871309369823, 164180413591614722725059485805374744105, 1996341102310530780023501278692058093020378765 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS The trace of the n X n symmetric Pascal matrix S is A006134(n). The determinant of the n X n symmetric Pascal matrix S is equal to 1. LINKS Vaclav Kotesovec, Table of n, a(n) for n = 1..26 Eric Weisstein's World of Mathematics, Pascal Matrix Wikipedia, Pascal matrix EXAMPLE For n = 1 the matrix S is    1 with the permanent equal to 1. For n = 2 the matrix S is    1, 1    1, 2 with the permanent equal to 3. For n = 3 the matrix S is    1, 1, 1    1, 2, 3    1, 3, 6 with the permanent equal to 35. For n = 4 the matrix S is    1,  1,  1,   1    1,  2,  3,   4    1,  3,  6,  10    1,  4, 10,  20 with the permanent equal to 1625. ... MAPLE with(LinearAlgebra): a := n -> Permanent(Matrix(n, (i, j) -> binomial(i+j-2, i-1))): seq(a(n), n = 1 .. 15); MATHEMATICA a[n_] := Permanent[Table[Binomial[i+j-2, i-1], {i, n}, {j, n}]]; Array[a, 15] PROG (PARI) a(n) = matpermanent(matrix(n, n, i, j, binomial(i+j-2, i-1))); \\ Michel Marcus, Nov 05 2018 CROSSREFS Cf. A007318, A006134. Sequence in context: A136525 A136556 A006098 * A012499 A125530 A068726 Adjacent sequences:  A320842 A320843 A320844 * A320846 A320847 A320848 KEYWORD nonn AUTHOR Stefano Spezia, Oct 22 2018 STATUS approved

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Last modified April 21 20:59 EDT 2019. Contains 322328 sequences. (Running on oeis4.)