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A201093 Triangle T(n,k), read by rows, given by (0,1,-1,-1,1,1,-1,-1,1,1,-1,-1,1,...) DELTA (1,0,0,0,0,0,0,0,0,0,0,...) where DELTA is the operator defined in A084938. 1
1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 3, 1, 0, 0, 2, 3, 4, 1, 0, 2, 2, 4, 6, 5, 1, 0, 0, 4, 6, 8, 10, 6, 1, 0, 5, 5, 9, 13, 15, 15, 7, 1, 0, 0, 10, 15, 20, 25, 26, 21, 8, 1, 0, 14, 14, 24, 34, 41, 45, 42, 28, 9, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,9

COMMENTS

Riordan array (1,xf(x)) where f(x) is g.f. of A097331.

Row sums are in A001405.

LINKS

Table of n, a(n) for n=0..65.

FORMULA

Sum_{k, 0<=k<=n} T(n,k)*x^k = A000007(n), A001405(n), A098617(n) for x = 0,1,2 respectively.

EXAMPLE

Triangle begins :

1

0, 1

0, 1, 1

0, 0, 2, 1

0, 1, 1, 3, 1

0, 0, 2, 3, 4, 1

0, 2, 2, 4, 6, 5, 1

0, 0, 4, 6, 8, 10, 6, 1

0, 5, 5, 9, 13, 15, 15, 7, 1

0, 0, 10, 15, 20, 25, 26, 21, 8, 1

0, 14, 14, 24, 34, 41, 45, 42, 28, 9, 1

0, 0, 28, 42, 56, 70, 78, 77, 64, 36, 10, 1

0, 42, 42, 70, 98, 120, 136, 140, 126, 93, 45, 11, 1

CROSSREFS

Cf. Diagonals : A000012, A001477, A000217, A000215,

Columns :A000007, A097331, A089408

Sequence in context: A294220 A214015 A137560 * A131255 A344566 A198295

Adjacent sequences: A201090 A201091 A201092 * A201094 A201095 A201096

KEYWORD

nonn,tabl

AUTHOR

Philippe Deléham, Nov 26 2011

STATUS

approved

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Last modified February 4 07:13 EST 2023. Contains 360046 sequences. (Running on oeis4.)