A153864 Triangle read by rows, A000012 * A153860 * (A066983 * 0^(n-k))

1, 1, 1, 2, 2, 1, 1, 2, 2, 3, 2, 2, 2, 6, 3, 1, 2, 2, 6, 6, 7, 2, 2, 2, 6, 6, 14, 9, 1, 2, 2, 6, 6, 14, 18, 17, 2, 2, 2, 6, 6, 14, 18, 34, 25, 1, 2, 2, 6, 6, 14, 18, 34, 50, 43, 2, 2, 2, 6, 6, 14, 18, 34, 50, 86, 67

Offset

0,4

Comments

Row sums = A066629: (1, 2, 5, 8, 15, 24, 41, 66, 109,...).

Right border = A066983: (1, 1, 1, 3, 3, 7, 9, 17,...).

Links

Table of n, a(n) for n=0..65.

Formula

Triangle read by rows, A000012 * A153860 * (A066983 * 0^(n-k))

Given triangle A000012 * A153860 = partial sums of A153860 starting from the top.

(A066983 * 0^n-k) = an infinite lower triangular matrix with A066983 as the

main diagonal: (1, 1, 1, 3, 3, 7, 9, 17, 25,...) and the rest zeros.

Example

First few rows of the triangle =
1;
1, 1;
2, 2, 1;
1, 2, 2, 3;
2, 2, 2, 6, 3;
1, 2, 2, 6, 6, 7;
2, 2, 2, 6, 6, 14, 9;
1, 2, 2, 6, 6, 14, 18, 17;
2, 2, 2, 6, 6, 14, 18, 34, 25;
1, 2, 2, 6, 6, 14, 18, 34, 50, 43;
...

Crossrefs

Cf. A153860, A066983, A066629

Sequence in context: A337530 A269982 A329462 * A345128 A112399 A349040

Adjacent sequences: A153861 A153862 A153863 * A153865 A153866 A153867

Keyword

nonn,tabl

Author

Gary W. Adamson, Jan 03 2009

Status

approved