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A147293 Triangle read by rows, A011782 convolved with A001519. 2
1, 1, 2, 2, 2, 5, 4, 4, 5, 13, 8, 8, 10, 13, 34, 16, 16, 20, 26, 34, 89, 32, 32, 40, 52, 68, 89, 233, 64, 64, 80, 104, 136, 178, 233, 610, 128, 128, 160, 208, 272, 356, 466, 610, 1597, 256, 256, 320, 416, 544, 712, 932, 1220, 1597, 4181 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Row sums = A061667: (1, 3, 9, 26, 73, 201, ...).

LINKS

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

FORMULA

Let M = an infinite lower triangular matrix with A011782: (1, 1, 2, 4, 8, 16, ...) in every column; and Q = an infinite lower triangular matrix with odd-indexed Fibonacci numbers, A001519: (1, 2, 5, 13, 34, 89, ...) as the main column and the rest zeros.

A147293 = M * Q.

EXAMPLE

First few rows of the triangle =

    1;

    1,   2;

    2,   2,   5;

    4,   4,   5,  13;

    8,   8,  10,  13,  34;

   16,  16,  20,  26,  34,  89;

   32,  32,  40,  52,  68,  89, 233;

   64,  64,  80, 104, 136, 178, 233,  610;

  128, 128, 160, 208, 272, 356, 466,  610, 1597;

  256, 256, 320, 416, 544, 712, 932, 1220, 1597, 4181;

  ...

Row 3 = (4, 4, 5, 13) = termwise products of (4, 2, 1, 1) and (1, 2, 5, 13). Row 3 sum of terms = 26 = (1, 1, 2, 4) convolved with (1, 2, 5, 13).

CROSSREFS

Cf. A001519, A011782, A061667.

Sequence in context: A208908 A209558 A209772 * A134634 A103286 A285704

Adjacent sequences:  A147290 A147291 A147292 * A147294 A147295 A147296

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson, Nov 05 2008

STATUS

approved

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Last modified October 28 11:10 EDT 2020. Contains 338054 sequences. (Running on oeis4.)