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 A206308 a(n) = ((2n+2)(2n+3)-1)*a(n-1) + 2n(2n+1)*a(n-2), a(0)=1, a(1)=19. 2
 1, 19, 799, 57527, 6327971, 987163475, 207304329751, 56386777692271, 19284277970756683, 8099396747717806859, 4098294754345210270655, 2458976852607126162392999, 1726201750530202565999885299, 1401675821430524483591906862787 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS The denominators of the fractions limiting to the value of A206530. REFERENCES E. W. Cheney, Introduction to Approximation Theory, McGraw-Hill, Inc., 1966. LINKS FORMULA a(0) = 1, a(1) = 19, a(n) = A125202(n+2)*a(n-1) + A002943(n)*a(n-2). MATHEMATICA RecurrenceTable[{a[n]==((2n+3)(2n+2)-1)a[n-1]+2n(2n+1)a[n-2], a[0]==1, a[1]==19}, a, {n, 15}] CROSSREFS Cf. A002943, A125202, A206307, A206530. Sequence in context: A280625 A183441 A067621 * A135562 A139194 A176601 Adjacent sequences:  A206305 A206306 A206307 * A206309 A206310 A206311 KEYWORD nonn,frac AUTHOR Seiichi Kirikami, Feb 11 2012 STATUS approved

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Last modified November 30 05:12 EST 2021. Contains 349419 sequences. (Running on oeis4.)