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A089513 Third column of triangle A089504. 5
1, 90, 6156, 387720, 23705136, 1432922400, 86230132416, 5179923146880, 310942155338496, 18660051727004160, 1119687641441381376, 67183287394552842240, 4031045937469026349056, 241863924899255181189120 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

Convolution of A089507 with powers of 60.

FORMULA

G.f.: 1/((1-3*2*1*x)*(1-4*3*2*x)*(1-5*4*3*x)).

a(n)=A089504(n+3, 3), n>=0.

a(n)= (50*(5*4*3)^n - 24*(4*3*2)^n + (3*2*1)^n)/27 = (6^n)*(5*10^(n+1) - 3*2^(2*n+3) + 1)/27.

CROSSREFS

Cf. A089505, A089507, A089514.

Sequence in context: A111783 A075918 A076010 * A112004 A166822 A166804

Adjacent sequences:  A089510 A089511 A089512 * A089514 A089515 A089516

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang (wolfdieter.lang_AT_physik_DOT_uni-karlsruhe_DOT_de), Dec 01 2003

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Last modified February 16 14:07 EST 2012. Contains 205930 sequences.