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A294439 Triangle read by rows: T(n,k) (n >= 1, 1 <= k <= n) = number of normalized 2n-plets associated to trees with k edges. 0
1, 1, 2, 1, 6, 5, 1, 14, 28, 14, 1, 30, 110, 120, 42, 1, 62, 375, 682, 495, 132, 1, 126, 1190, 3248, 3731, 2002, 429, 1, 254, 3628, 14062, 23020, 18928, 8008, 1430, 1, 510, 10805, 57516, 127029, 144024, 91392, 31824, 4862, 1, 1022, 31740, 227030, 654395, 968544, 828495, 426360, 125970, 16796 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

Table of n, a(n) for n=1..55.

M. Bauer and O. Golinelli, Random incidence matrices: Moments of the spectral density, arXiv:cond-mat/0007127 [cond-mat.stat-mech], 2000-2001; J. Stat. Phys. 103, 301-307 (2001).

EXAMPLE

Triangle begins:

  1;

  1,    2;

  1,    6,     5;

  1,   14,    28,     14;

  1,   30,   110,    120,     42;

  1,   62,   375,    682,    495,    132;

  1,  126,  1190,   3248,   3731,   2002,    429;

  1,  254,  3628,  14062,  23020,  18928,   8008,   1430;

  1,  510, 10805,  57516, 127029, 144024,  91392,  31824,   4862;

  1, 1022, 31740, 227030, 654395, 968544, 828495, 426360, 125970, 16796;

  ...

CROSSREFS

Sequence in context: A046817 A193817 A227159 * A008970 A055896 A193723

Adjacent sequences:  A294436 A294437 A294438 * A294440 A294441 A294442

KEYWORD

nonn,tabl

AUTHOR

N. J. A. Sloane, Nov 20 2017

STATUS

approved

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Last modified July 5 00:40 EDT 2020. Contains 335457 sequences. (Running on oeis4.)