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A143777 Eigentriangle of triangle A022167 1
1, 1, 1, 1, 4, 2, 1, 13, 26, 7, 1, 40, 260, 280, 47, 1, 121, 2420, 8470, 5687, 628 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,5

COMMENTS

Row sums of the triangle = A125813 shifted one place to the left = (1, 2, 7, 47, 628,...).

Row sums of row n terms = rightmost term of row (n+1).

Example: rightmost term of row 3 = 7 = (1 + 4 + 2).

Triangle A022167 =

1;

1, 1;

1, 4, 1;

1, 13, 13, 1;

1, 40, 130, 40, 1;

... The eigensequence of A022167 = A125815: (1, 1, 2, 7, 47, 628, 17327,...).

Triangle A143777 applies a termwise product of the first n terms of (1, 1, 2, 7, 47,...) and the (n-1)-th row terms of triangle A022167.

First few rows of the triangle are:

1;

1, 1;

1, 4, 2;

1, 13, 26, 7;

1, 40, 260, 280, 47;

1, 121, 2420, 8470, 5687, 628;

... Example: Row 3 = (1, 13, 26, 7) = termwise product of (1, 13, 13, 1) and (1, 1, 2, 7); where (1, 13, 13, 1) = row 3 of triangle A022167 and (1, 1, 2, 7) = the first 4 terms of A125813, the eigensequence of A022167.

LINKS

Table of n, a(n) for n=0..20.

FORMULA

Triangle read by rows, A022167 * (A125813 * 0^(n-k)); 0<=k<=n

CROSSREFS

A022167, Cf. A125813

Sequence in context: A109244 A171650 A225476 * A236830 A152391 A144088

Adjacent sequences:  A143774 A143775 A143776 * A143778 A143779 A143780

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson, Aug 31 2008

STATUS

approved

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Last modified September 2 23:10 EDT 2014. Contains 246369 sequences.