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A130888

Triangle read by rows, A051731(n,k) dot (1, 3, 7, 15, ...) with like numbers of terms.

1, 1, 3, 1, 0, 7, 1, 3, 0, 15, 1, 0, 0, 0, 31, 1, 3, 7, 0, 0, 63, 1, 0, 0, 0, 0, 0, 127, 1, 3, 0, 15, 0, 0, 0, 255

OFFSET

1,3

COMMENTS

Row sums = A130887: (1, 4, 8, 19, 32, 74, 128, 274, 519, 1058, ...).

LINKS

FORMULA

Triangle read by rows, dot product of each row of A051731 and the same number of terms in the series (1, 3, 7, 15, ...).

G.f.: Sum_{k>0} (2^k-1)*(x*y)^k/(1-x^k). - Vladeta Jovovic, Dec 02 2008

EXAMPLE

First few rows of the triangle:

1, 3;

1, 0, 7;

1, 3, 0, 15;

1, 0, 0, 0, 31;

1, 3, 7, 0, 0, 63;

...

Row 4 = (1, 3, 0, 15) = (1, 1, 0, 1) dot (1, 3, 7, 15); where (1, 1, 0, 1) = row 4 of A051731.

CROSSREFS

KEYWORD

nonn,tabl

AUTHOR

STATUS

approved

URL: https://oeis.org/A130888