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A213748 Principal diagonal of the convolution array A213747. 3
1, 16, 125, 758, 4071, 20424, 98185, 458506, 2096651, 9436172, 41941005, 184545294, 805298191, 3489644560, 15032352785, 64424443922, 274877775891, 1168230842388, 4947801800725, 20890719879190, 87960928124951 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
LINKS
FORMULA
a(n) = 12*a(n-1) - 53*a(n-2) + 106*a(n-3) - 96*a(n-4) + 32*a(n-5).
G.f.: f(x)/g(x), where f(x) = x*(1 + 4*x - 14*x^2) and g(x) = (1 - 2*x)*(1 - 5*x + 4*x^2)^2.
a(n) = 2 - 2^n + 4^n*(n-1) + n. - Colin Barker, Nov 07 2017
MATHEMATICA
(See A213747.)
LinearRecurrence[{12, -53, 106, -96, 32}, {1, 16, 125, 758, 4071}, 30] (* Harvey P. Dale, Aug 15 2012 *)
CROSSREFS
Sequence in context: A067442 A000485 A264625 * A007787 A067470 A133111
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, Jun 19 2012
STATUS
approved

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Last modified March 28 18:04 EDT 2024. Contains 371254 sequences. (Running on oeis4.)