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A159573 Triangle read by rows, A055248 * (A005493 * 0^(n-k)) 2
1, 2, 1, 4, 3, 3, 8, 7, 12, 10, 16, 15, 33, 50, 37, 32, 31, 78, 160, 222, 151, 64, 63, 171, 420, 814, 1057, 674, 128, 127, 360, 990, 2368, 4379, 5392, 3263, 256, 255, 741, 2190, 6031, 14043, 24938, 29367, 17007, 512, 511, 1506, 4660, 14134, 38656, 87620 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Row sums = A005493: (1, 3, 10, 37, 151, 674, 3263,...); = row sums of Aitken's array. As a property of eigentriangles, sum of n-th row terms = rightmost term of next row.

LINKS

Table of n, a(n) for n=0..51.

FORMULA

Triangle read by rows, A055248 * (A005493 * 0^(n-k)); equivalent to the product of triangle A055248 and its own eigensequence (diagonalized with the rest zeros, as an infinite lower triangular matrix).

EXAMPLE

First few rows of the triangle =

1;

2, 1;

4, 3, 3;

8, 7, 12, 10;

16, 15, 33, 50, 37;

32, 31, 78, 160, 222, 151;

64, 63, 171, 420, 814, 1057, 674;

128, 127, 360, 990, 2368, 4379, 5392, 3263;

256, 255, 741, 2190, 6031, 14043, 24938, 29367, 17007;

512, 511, 1506, 4660, 14134, 38656, 87620, 150098, 170070, 94828;

1024, 1023, 3039, 9680, 31376, 96338, 260164, 574288, 952392, 1043108, 562595;

...

Example: row 3 = (8, 7, 12, 10) = termwise products of (8, 7, 4, 1) and

(1, 1, 3, 10), where (8, 7, 12, 10) = row 3 of triangle A055248.

CROSSREFS

Cf. A055248, A005493, A011971

Sequence in context: A136757 A134599 A117235 * A102916 A081234 A105239

Adjacent sequences:  A159570 A159571 A159572 * A159574 A159575 A159576

KEYWORD

eigen,nonn,tabl

AUTHOR

Gary W. Adamson, Apr 16 2009

STATUS

approved

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Last modified October 16 23:30 EDT 2019. Contains 328103 sequences. (Running on oeis4.)