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A016829 (4n+2)^5. 0
32, 7776, 100000, 537824, 1889568, 5153632, 11881376, 24300000, 45435424, 79235168, 130691232, 205962976, 312500000, 459165024, 656356768, 916132832, 1252332576, 1680700000, 2219006624, 2887174368 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..19.

Index entries for linear recurrences with constant coefficients, signature (6, -15, 20, -15, 6, -1).

FORMULA

a(0)=32, a(1)=7776, a(2)=100000, a(3)=537824, a(4)=1889568, a(5)=5153632, a(n)=6*a(n-1)-15*a(n-2)+20*a(n-3)-15*a(n-4)+6*a(n-5)- a(n-6) [From Harvey P. Dale, Aug 31 2011]

G.f.: (32*(x+1)*(x*(x*(x*(x+236)+1446)+236)+1))/(x-1)^6 [From Harvey P. Dale, Aug 31 2011]

MATHEMATICA

(4Range[0, 20]+2)^5 (* or *) LinearRecurrence[{6, -15, 20, -15, 6, -1}, {32, 7776, 100000, 537824, 1889568, 5153632}, 20] (* Harvey P. Dale, Aug 31 2011 *)

CROSSREFS

Sequence in context: A283922 A224100 A224107 * A248720 A069052 A221614

Adjacent sequences:  A016826 A016827 A016828 * A016830 A016831 A016832

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified June 24 04:38 EDT 2019. Contains 324318 sequences. (Running on oeis4.)