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 A373101 Triangle read by rows, T(n,k) = (binomial(n,k)^3 - binomial(n,k))/6 for k=1..n-1 and n >= 2. 1
 1, 4, 4, 10, 35, 10, 20, 165, 165, 20, 35, 560, 1330, 560, 35, 56, 1540, 7140, 7140, 1540, 56, 84, 3654, 29260, 57155, 29260, 3654, 84, 120, 7770, 98770, 333375, 333375, 98770, 7770, 120, 165, 15180, 287980, 1543465, 2667126, 1543465, 287980, 15180, 165 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 2,2 COMMENTS This triangle was mentioned in A143420 with the wrong A-number A143419. LINKS Table of n, a(n) for n=2..46. EXAMPLE T(n,k) for n=2..7: 1; 4, 4; 10, 35, 10; 20, 165, 165, 20; 35, 560, 1330, 560, 35; 56, 1540, 7140, 7140, 1540, 56; MAPLE seq(print(n, seq((binomial(n, k)^3 - binomial(n, k))/6, k=1..n-1)), n=2..10); CROSSREFS Cf. A143418, A143420. Sequence in context: A145598 A320392 A117881 * A342989 A161719 A343090 Adjacent sequences: A373098 A373099 A373100 * A373102 A373103 A373104 KEYWORD nonn,easy,tabl AUTHOR Georg Fischer, May 23 2024 STATUS approved

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Last modified September 19 04:22 EDT 2024. Contains 376004 sequences. (Running on oeis4.)