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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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A115284 Correlation triangle of 4-C(1,n)-2*C(0,n) (A113311).

Original entry on oeis.org

1, 3, 3, 4, 10, 4, 4, 15, 15, 4, 4, 16, 26, 16, 4, 4, 16, 31, 31, 16, 4, 4, 16, 32, 42, 32, 16, 4, 4, 16, 32, 47, 47, 32, 16, 4, 4, 16, 32, 48, 58, 48, 32, 16, 4, 4, 16, 32, 48, 63, 63, 48, 32, 16, 4, 4, 16, 32, 48, 64, 74, 64, 48, 32, 16, 4
Offset: 0

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Author

Paul Barry, Jan 19 2006

Keywords

Comments

Row sums are the coordination sequence for cubic lattice A005899. Diagonal sums are A115285. T(2n,n) is A113770. T(2n,n)-T(2n,n+1) is 1,6,10,10,10,.... (10-4C(1,n)-5C(0,n)).

Examples

			Triangle begins:
  1;
  3, 3;
  4, 10, 4;
  4, 15, 15, 4;
  4, 16, 26, 16, 4;
  4, 16, 31, 31, 16, 4;
  4, 16, 32, 42, 32, 16, 4;

Formula

G.f.: (1+x)^2*(1+x*y)^2/((1-x)*(1-x*y)*(1-x^2*y)).
T(n, k) = Sum_{j=0..n} [j<=k]*(4-C(1, k-j)-2*C(0, k-j))*[j<=n-k]*(4-C(1, n-k-j)-2*C(0, n-k-j)).
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