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A084943 Decagorials: n-th polygorial for k=10. 20
1, 1, 10, 270, 14040, 1193400, 150368400, 26314470000, 6104957040000, 1813172240880000, 670873729125600000, 302564051835645600000, 163384587991248624000000, 104075982550425373488000000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..13.

FORMULA

A084943(n) = Polygorial(n, 10) = A000142(n)/A000079(n)*A084948(n) = n!/2^n*product(8*i+2, i=0..n-1) = n!/2^n*8^n*pochhammer(1/4, n) = n!/2*4^n*GAMMA(n+1/4)*sqrt(2)*GAMMA(3/4)/Pi.

MAPLE

a := n->n!/2^n*product(8*i+2, i=0..n-1); [seq(a(j), j=0..30)];

CROSSREFS

Cf. A006472, A001044, A000680, A084939, A084940, A084941, A084942, A084944, A085356.

Sequence in context: A245983 A166811 A089906 * A055055 A222998 A221526

Adjacent sequences:  A084940 A084941 A084942 * A084944 A084945 A084946

KEYWORD

easy,nonn

AUTHOR

Daniel Dockery (peritus(AT)gmail.com), Jun 13 2003

STATUS

approved

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Last modified December 3 04:39 EST 2016. Contains 278698 sequences.