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A144025 Eigentriangle by rows, A001006(n-k)*A005773(k); 0<=k<=n 0
1, 1, 1, 2, 1, 2, 4, 2, 2, 5, 9, 4, 4, 5, 13, 21, 9, 8, 10, 13, 35, 51, 21, 18, 20, 26, 35, 96, 127, 51, 42, 45, 52, 70, 96, 267, 323, 127, 102, 105, 117, 140, 192, 267, 750, 835, 323, 254, 255, 273, 315, 384, 534, 720, 2123, 2188, 835, 646, 635, 663, 735, 864, 1068 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

Left border = Motzkin numbers, A001006.

Right border = A005773.

Row sums = A005773 shifted: (1, 2, 5, 13, 35, 96, 267,...).

Sum of n-th row terms = rightmost term of next row.

LINKS

Table of n, a(n) for n=0..62.

FORMULA

Eigentriangle by rows, A001006(n-k)*A005773(k); 0<=k<=n

EXAMPLE

First few rows of the triangle =

1;

1, 1;

2, 1, 2;

4, 2, 2, 5;

9, 4, 4, 5, 13;

21, 9, 8, 10, 13, 35;

51, 21, 18, 20, 26, 35, 96;

127, 51, 42, 45, 52, 70, 96, 267;

323, 127, 102, 105, 117, 140, 192, 267, 750;

835, 323, 254, 255, 273, 315, 384, 534, 720, 2123;

...

Row 3 = (4, 2, 2, 5) = termwise product of (4, 2, 1, 1) and the first 4 terms of A005773: (1, 1, 2, 5) = (4*1, 2*1, 1*2, 1*5). (4, 2, 1, 1) = the first 4 terms of A001066, reversed.

CROSSREFS

A001066, Cf. A005773

Sequence in context: A114929 A247321 A152251 * A058573 A184990 A206299

Adjacent sequences:  A144022 A144023 A144024 * A144026 A144027 A144028

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson, Sep 07 2008

STATUS

approved

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Last modified August 5 20:11 EDT 2021. Contains 346488 sequences. (Running on oeis4.)