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A052461 4-magic series constant. 2
1, 177, 5111, 60962, 430729, 2158099, 8488095, 27903044, 79895265, 205033333, 481386807, 1049954918, 2152397897, 4185095383, 7774354687, 13878462600, 23923217921, 39978597945, 64985300791, 103041066666, 159757914953 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..21.

Eric Weisstein's World of Mathematics, Magic Constant.

Index to sequences with linear recurrences with constant coefficients, signature (10,-45,120,-210,252,-210,120,-45,10,-1).

FORMULA

G.f.: x*(x^8 +167*x^7 +3386*x^6 +17697*x^5 +30074*x^4 +17697*x^3 +3386*x^2 +167*x +1) / (x -1)^10. - Colin Barker, Jun 06 2013

PROG

(PARI) a(n)=(6*n^9+15*n^7+10*n^5-n)/30 \\ Charles R Greathouse IV, Jun 06 2013

CROSSREFS

Cf. A052459, A052460.

Sequence in context: A105988 A083620 A097317 * A173375 A069398 A189910

Adjacent sequences:  A052458 A052459 A052460 * A052462 A052463 A052464

KEYWORD

nonn,easy

AUTHOR

Eric W. Weisstein

STATUS

approved

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Last modified November 23 22:48 EST 2014. Contains 249866 sequences.