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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 FORMULA Triangle read by rows, A022167 * (A125813 * 0^(n-k)); 0<=k<=n CROSSREFS A022167, Cf. A125813 Sequence in context: A109244 A171650 A225476 * A326659 A236830 A269736 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 December 8 20:37 EST 2021. Contains 349596 sequences. (Running on oeis4.)