A084288 Antidiagonal sums of table A084287, in which the k-th row is the product of the k-th prime with the antidiagonals of the first k rows of the table.

1, 5, 15, 34, 68, 126, 222, 358, 609, 982, 1722, 2932, 5317, 9612, 18539, 34949, 68876, 134632, 267329, 528921, 1057402, 2103882, 4207541, 8398104, 16799430, 33566249, 67148298, 134231998, 268500559, 536897299, 1073860323, 2147505848

Offset

1,2

Links

Table of n, a(n) for n=1..32.

Prog

(PARI) A = matrix(50, 50); for (i = 1, 50, A[1, i] = 2^(i - 1)); for (j = 2, 50, count = 0; p = prime(j); for (d = 1, j, for (x = 1, d, y = d + 1 - x; count++; if (count <= 50, A[j, count] = p*A[x, y]))); d = j; while (count < 50, d++; for (x = 1, j, y = d + 1 - x; count++; if (count <= 50, A[j, count] = p*A[x, y])))); for (d = 1, 50, s = 0; for (y = 1, d, x = d + 1 - y; s += A[x, y]); print1(s, ", ")); \\ David Wasserman, Dec 13 2004

Crossrefs

Cf. A084287.

Sequence in context: A006003 A026101 A111385 * A083049 A015627 A156778

Adjacent sequences: A084285 A084286 A084287 * A084289 A084290 A084291

Keyword

nonn

Author

Paul D. Hanna, May 25 2003

Extensions

Corrected and extended by David Wasserman, Dec 13 2004

Status

approved