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 A318397 Triangle read by rows: T(n,k) = binomial(n,k)^2 * binomial(2*(n-k), n-k). 1
 1, 2, 1, 6, 8, 1, 20, 54, 18, 1, 70, 320, 216, 32, 1, 252, 1750, 2000, 600, 50, 1, 924, 9072, 15750, 8000, 1350, 72, 1, 3432, 45276, 111132, 85750, 24500, 2646, 98, 1, 12870, 219648, 724416, 790272, 343000, 62720, 4704, 128, 1, 48620, 1042470, 4447872, 6519744, 4000752, 1111320, 141120, 7776, 162, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS The square of the triangular matrix {binomial(n, k)^2}_{k=0..n} A008459 read by rows. LINKS EXAMPLE Triangle begins:    1    2   1    6   8   1   20  54  18   1   70 320 216  32   1 ... MATHEMATICA T[ n_, k_] := Binomial[n, k]^2 Binomial[2 n - 2 k, n - k]; PROG (PARI) {T(n, k) = binomial(n, k)^2 * binomial(2*(n-k), n-k)}; CROSSREFS Row sums give A002893. Cf. A008459. Sequence in context: A318390 A319511 A110608 * A190015 A112007 A113374 Adjacent sequences:  A318394 A318395 A318396 * A318398 A318399 A318400 KEYWORD nonn,tabl,easy AUTHOR Michael Somos, Aug 25 2018 STATUS approved

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Last modified June 15 14:55 EDT 2021. Contains 345049 sequences. (Running on oeis4.)