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A198379 Triangle T(n,k), read by rows, given by (0,1,-1,0,1,-1,0,1,-1,0,1,-1,...) DELTA (1,0,0,1,0,0,1,0,0,1,0,0,1,...) where DELTA is the operator defined in A084938. 4
1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 3, 1, 0, 0, -1, 0, 4, 1, 0, 0, 0, -4, 0, 5, 1, 0, 0, 0, 0, -10, 0, 6, 1, 0, 0, 0, 2, 0, -20, 0, 7, 1, 0, 0, 0, 0, 12, 0, -35, 0, 8, 1, 0, 0, 0, 0, 0, 42, 0, -56, 0, 9, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,9

COMMENTS

Equal to A174014*A130595 as infinite lower triangular matrices.

LINKS

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

FORMULA

Sum_k>=0 T(n,k)= A174015(n).

Sum_k>=0 T(n,k)*2^k = A174016(n).

Sum_ {0<=k<=n} T(n,k)*(-1)^(n-k) = A168505(n).

EXAMPLE

Triangle begins :

1

0, 1

0, 1, 1

0, 0, 2, 1

0, 0, 0, 3, 1

0, 0, -1, 0, 4, 1

0, 0, 0, -4, 0, 5, 1

0, 0, 0, 0, -10, 0, 6, 1

CROSSREFS

Cf. A174014, A174015, A174016

Sequence in context: A196389 A128206 A103294 * A079680 A037855 A037873

Adjacent sequences:  A198376 A198377 A198378 * A198380 A198381 A198382

KEYWORD

sign,easy,tabl

AUTHOR

Philippe Deléham, Oct 28 2011

STATUS

approved

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Last modified July 18 19:00 EDT 2019. Contains 325144 sequences. (Running on oeis4.)