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A116383 Row sums of number triangle A116382. 3
1, 1, 4, 6, 19, 33, 93, 175, 460, 910, 2286, 4676, 11388, 23842, 56808, 120926, 283611, 611065, 1416625, 3079635, 7078263, 15490553, 35374519, 77805481, 176813809, 390379483, 883861033, 1957097715, 4418562265, 9805546875, 22090136885 (list; graph; refs; listen; history; internal format)
OFFSET

0,3

COMMENTS

Binomial transform is A116387.

FORMULA

G.f.: (1+x-4x^2)/(2(1-5x^2)sqrt(1-4x^2))+(1+x)/(2(1-5x^2)); a(n)=sum{k=0..n, sum{j=0..n, (-1)^(n-j)*C(n,j)*sum{i=0..j, C(j,i-k)C(i,j-i)}}}.

CROSSREFS

Sequence in context: A024697 A024874 A095383 * A026521 A202618 A006534

Adjacent sequences:  A116380 A116381 A116382 * A116384 A116385 A116386

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Feb 12 2006

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Last modified February 16 21:51 EST 2012. Contains 205978 sequences.