login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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

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

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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

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