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A196389 Triangle T(n,k), read by rows, given by (0,1,-1,0,0,0,0,0,0,0,...) DELTA (1,0,0,1,0,0,0,0,0,0,0,...) where DELTA is the operator defined in A084938. 2
1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 3, 1, 0, 0, 0, 0, 4, 1, 0, 0, 0, 0, 0, 5, 1, 0, 0, 0, 0, 0, 0, 6, 1, 0, 0, 0, 0, 0, 0, 0, 7, 1, 0, 0, 0, 0, 0, 0, 0, 0, 8, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,9

COMMENTS

Row sums are A028310; diagonal sums are A057979; column sums are A000027.

LINKS

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

FORMULA

T(n,n)=1, T(n+1,n)=n.

G.f.: (1-x*y+x^2*y)/(1-x*y)^2. - From Philippe Deléham, Oct 31 2011.

Sum_{0<=k<=n} T(n,k)*x^k = A000007(n), A028310(n), A057711(n+1), A064017(n+1) for x = 0, 1, 2, 3 respectively.- From Philippe Deléham, Oct 31 2011

EXAMPLE

Triangle begins :

1

0, 1

0, 1, 1

0, 0, 2, 1

0, 0, 0, 3, 1

0, 0, 0, 0, 4, 1

0, 0, 0, 0, 0, 5, 1

0, 0, 0, 0, 0, 0, 6, 1

0, 0, 0, 0, 0, 0, 0, 7, 1

0, 0, 0, 0, 0, 0, 0, 0, 8, 1

0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 1...

CROSSREFS

Cf. A084938.

Sequence in context: A177517 A227819 A064287 * A128206 A103294 A198379

Adjacent sequences:  A196386 A196387 A196388 * A196390 A196391 A196392

KEYWORD

nonn,tabl,easy

AUTHOR

Philippe Deléham, Oct 28 2011

STATUS

approved

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Last modified June 25 12:55 EDT 2019. Contains 324352 sequences. (Running on oeis4.)