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A143774 Eigentriangle of triangle A022166 1
1, 1, 1, 1, 3, 2, 1, 7, 14, 6, 1, 15, 70, 70, 28, 1, 31, 310, 930, 868, 204, 1, 63, 1302, 8370, 18228, 12852, 2344 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,5

COMMENTS

An eigentriangle of triangle T may be defined by taking the termwise product of row n-1 of T and the first n terms of the eigensequence of T; 0<=k<=n.

Row sums = A125812 shifted 1 place to the left: (1, 2, 6, 28, 204,...).

Sum of n-th row terms = rightmost term of (n+1)-th row.

1, 1;

1, 3, 1;

1, 7, 7, 1;

1, 15, 35, 15, 1;

... (and the eigensequence of A022166 = A125812: (1, 1, 2, 6, 28, 204,...) we apply the termwise product of (n-1)-th row of A022166 and the first n terms of A125812.

First few rows of the triangle = 1;

1, 1;

1, 3, 2;

1, 7, 14, 6;

1, 15, 70, 90, 28;

1, 31, 310, 930, 868, 204;

... Example: row 3 of A022166 = (1, 7, 7, 1), first 4 terms of A143774 = (1, 1, 2, 6), so row 3 of A143774 = (1*1, 7*1, 7*2, 1*6) = (1, 7, 14, 6).

LINKS

Table of n, a(n) for n=0..27.

FORMULA

Given triangle A022166: 1;

CROSSREFS

A022166, Cf. A125812

Sequence in context: A163626 A028246 A082038 * A196842 A158474 A090452

Adjacent sequences:  A143771 A143772 A143773 * A143775 A143776 A143777

KEYWORD

nonn,tabf

AUTHOR

Gary W. Adamson, Aug 31 2008

STATUS

approved

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Last modified June 17 15:28 EDT 2019. Contains 324194 sequences. (Running on oeis4.)