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A091027 Sixth column (m=7) of array A090452. 2
63, 910, 6083, 27483, 97188, 289884, 762048, 1816248, 4001613, 8264718, 16168867, 30204083, 54215070, 93980040, 157979640, 258402312, 412440315, 643939374, 985474539, 1480935379, 2188715144, 3185611044, 4571556360, 6475319760, 9061322985, 12537745038 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
LINKS
Index entries for linear recurrences with constant coefficients, signature (11,-55,165,-330,462,-462,330,-165,55,-11,1).
FORMULA
a(n)= (n+12)*(n+9)*(n+3)*(n+2)*(n+1)*(n^5+48*n^4+769*n^3+4782*n^2+11200*n+8400)/86400. 86400=10!/(2*3*7).
G.f.: (63+217*x-462*x^2+225*x^3+80*x^4-120*x^5+45*x^6-6*x^7)/(1-x)^11.
MATHEMATICA
LinearRecurrence[{11, -55, 165, -330, 462, -462, 330, -165, 55, -11, 1}, {63, 910, 6083, 27483, 97188, 289884, 762048, 1816248, 4001613, 8264718, 16168867}, 30] (* Harvey P. Dale, Dec 19 2021 *)
CROSSREFS
Cf. A091026.
Sequence in context: A321545 A201886 A232794 * A112494 A258004 A258014
KEYWORD
nonn,easy
AUTHOR
Wolfdieter Lang, Dec 23 2003
STATUS
approved

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Last modified July 13 00:23 EDT 2024. Contains 374259 sequences. (Running on oeis4.)