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A087736 Triangle T(n,k) read by rows given by [0, 1, 3, 6, 10, 15, 21, ...] DELTA [1, 3, 6, 10, 15, 21, 28,...] where DELTA is the operator defined in A084938. 2
1, 0, 1, 0, 1, 4, 0, 4, 23, 34, 0, 34, 249, 606, 496, 0, 496, 4354, 14181, 20434, 11056, 0, 11056, 112238, 450097, 894838, 885032, 349504, 0, 349504, 4008024, 18911670, 47136095, 65613780, 48468804, 14873104 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,6

LINKS

Table of n, a(n) for n=0..35.

FORMULA

Sum_{k, 0<=k<=n}T(n,k)*x^(n-k)=A000012(n), A011782(n), A001147(n), A002105(n+1), A000364(n), A126151(n), A126156(n) for n = -3,-2,-1,0,1,2,3 respectively .

EXAMPLE

Triangle begins:

1;

0, 1;

0, 1, 4;

0, 4, 23, 34;

0, 34, 249, 606, 496;

0, 496, 4354, 14181, 20434, 11056;

0, 11056, 112238, 450097, 894838, 885032, 349504;

0, 349504, 4008024, 18911670, 47136095, 65613780, 48468804, 14873104 ;...

CROSSREFS

Diagonals give A002105: [1, 1, 4, 34, 496, ...] Row sums give A000364 : [1, 1, 5, 61, 1385, ...] Euler numbers.

Cf. A000217 A000384 A002105 A084938.

Sequence in context: A151672 A058493 A112149 * A005075 A103638 A129821

Adjacent sequences:  A087733 A087734 A087735 * A087737 A087738 A087739

KEYWORD

easy,nonn,tabl

AUTHOR

Philippe Deléham, Sep 30 2003, Jul 17 2007

EXTENSIONS

Corrected and edited. - Philippe Deléham, Nov 24 2008

STATUS

approved

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Last modified February 19 12:48 EST 2018. Contains 299333 sequences. (Running on oeis4.)