cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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A143420 Row sums of triangle A373101.

Original entry on oeis.org

1, 8, 55, 370, 2520, 17472, 123151, 880070, 6360706, 46402312, 341153384, 2524722928, 18789734496, 140521154048, 1055383259791, 7956220907758, 60179579570382, 456545145078408, 3472804505717170
Offset: 2

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Author

Gary W. Adamson, Aug 14 2008

Keywords

Comments

Each term in the sequence is a sum of tetrahedral numbers.
The underlying triangle mentioned as A143419 was lost and is now restored in A373101. - Georg Fischer, May 23 2024

Examples

			a(5) = 370 = (20 + 165 + 165 + 20) = C(6,3) + C(11,3) + C(11,8) + C(6,3).
		

Crossrefs

Cf. A108958 (row sums of A143418), A373101.

Programs

  • Maple
    seq(add((binomial(n,k)^3 - binomial(n,k))/6,k=1..n-1),n=2..20); # Georg Fischer, May 23 2024

Extensions

Definition changed, a(7) corrected and more terms from Georg Fischer, May 23 2024
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