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A028214 Expansion of 1/((1-6x)(1-8x)(1-10x)(1-12x)). 0
1, 36, 820, 15120, 246736, 3721536, 53174080, 730794240, 9758653696, 127501710336, 1638112752640, 20771546664960, 260668843872256, 3244288806567936, 40111449573376000, 493276560759521280 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

LINKS

Index to sequences with linear recurrences with constant coefficients, signature (36,-476,2736,-5760)

FORMULA

a(n) = 22*a(n-1) - 120*a(n-2) + 2^n*(4^(n+1) - 3^(n+1)), n>=2. - Vincenzo Librandi, Mar 14 2011

a(n) = 36*a(n-1) - 476*a(n-2) + 2736*a(n-3) - 5760*a(n-4). - Vincenzo Librandi, Mar 14 2011

a(n) = -125*10^n/2 -9*6^n/2 +4*8^(n+1)+3*12^(n+1). - R. J. Mathar, Mar 15 2011

CROSSREFS

Sequence in context: A028216 A028221 A000597 * A028197 A028209 A028195

Adjacent sequences:  A028211 A028212 A028213 * A028215 A028216 A028217

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified February 17 23:08 EST 2012. Contains 206085 sequences.