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A177452 Partial sums of A002055. 0
1, 10, 66, 366, 1851, 8858, 40890, 184098, 813948, 3549758, 15317294, 65537334, 278489619, 1176688494, 4948173294, 20723897214, 86494746204, 359915608314, 1493718226314, 6184858989714, 25556291840484, 105406847513658 (list; graph; refs; listen; history; text; internal format)
OFFSET

5,2

COMMENTS

Partial sums of number of diagonal dissections of a convex n-gon into n-4 regions. Partial sums of number of standard tableaux of shape (n-4,n-4,1,1). All values shown are nonprime.

LINKS

Table of n, a(n) for n=5..26.

FORMULA

a(n) = SUM[i=5..n] A002055(i) = SUM[i=5..n] binomial(i-3, 2)*binomial(2*i-6, i-5)/(i-4).

EXAMPLE

a(9) = 1 + 9 + 56 + 300 + 1485 = 1851 = 3 * 617.

CROSSREFS

Cf. A002055.

Sequence in context: A320817 A004310 A026853 * A033504 A163615 A232062

Adjacent sequences:  A177449 A177450 A177451 * A177453 A177454 A177455

KEYWORD

nonn

AUTHOR

Jonathan Vos Post, May 09 2010

STATUS

approved

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Last modified April 11 19:32 EDT 2021. Contains 342888 sequences. (Running on oeis4.)