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A160756 Triangle read by rows, infinite lower triangular Toeplitz matrix with A078008 in every column convolved with A001333. 1
1, 0, 1, 2, 0, 1, 2, 2, 0, 3, 6, 2, 2, 0, 7, 10, 6, 2, 6, 0, 17, 22, 10, 6, 6, 14, 0, 41, 42, 22, 10, 18, 14, 34, 0, 99, 86, 42, 22, 30, 42, 34, 82, 0, 239, 170, 86, 42, 66, 70, 102, 82, 198, 0, 577 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

Row sums = A001333: (1, 1, 3, 7, 17, 41,...). Sum of n-th row terms = rightmost term of next row.

LINKS

Table of n, a(n) for n=0..54.

FORMULA

Let M = an infinite lower triangular Toeplitz matrix with A078008 (1, 0, 2, 2, 6, 10, 22, 42, 86, 170,...). Let Q = the eigensequence of that triangle prefaced with a 1: (1, 1, 1, 3, 7, 17,...) where A001333 = (1, 1, 3, 7, 17,...). The triangle = M * Q.

EXAMPLE

First few rows of the triangle =

1;

0, 1;

2, 0, 1;

2, 2, 0, 3;

6, 2, 2, 0, 7;

10, 6, 2, 6, 0, 17;

22, 10, 6, 6, 14, 0, 41;

42, 22, 10, 18, 14, 34, 0, 99;

86, 42, 22, 30, 42, 34, 82, 0, 239;

170, 86, 42, 66, 70, 102, 82, 198, 0, 577;

...

Example: row 4 = (6, 2, 2, 0, 7) = (6, 2, 2, 0, 1) * (1, 1, 1, 3, 7).

CROSSREFS

Cf. A078008, A001333

Sequence in context: A305436 A299480 A110249 * A176239 A292475 A316716

Adjacent sequences:  A160753 A160754 A160755 * A160757 A160758 A160759

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson, May 25 2009

STATUS

approved

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Last modified October 17 16:18 EDT 2018. Contains 316285 sequences. (Running on oeis4.)