

A206308


a(n) = ((2n+2)(2n+3)1)*a(n1) + 2n(2n+1)*a(n2), a(0)=1, a(1)=19.


2



1, 19, 799, 57527, 6327971, 987163475, 207304329751, 56386777692271, 19284277970756683, 8099396747717806859, 4098294754345210270655, 2458976852607126162392999, 1726201750530202565999885299, 1401675821430524483591906862787
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OFFSET

0,2


COMMENTS

The denominators of the fractions limiting to the value of A206530.


REFERENCES

E. W. Cheney, Introduction to Approximation Theory, McGrawHill, Inc., 1966.


LINKS

Table of n, a(n) for n=0..13.


FORMULA

a(0) = 1, a(1) = 19, a(n) = A125202(n+2)*a(n1) + A002943(n)*a(n2).


MATHEMATICA

RecurrenceTable[{a[n]==((2n+3)(2n+2)1)a[n1]+2n(2n+1)a[n2], 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



