A004341 - OEIS

A004341

Binomial coefficient C(4n,n-11).

1, 48, 1326, 27720, 487635, 7624512, 109453344, 1473109704, 18855883575, 231900297200, 2761025887620, 32006008361808, 362827605867363, 4036320536972640, 44186942677323600, 477092811067148640, 5089954010045192190, 53739140249027550240, 562196697805477054650

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OFFSET

11,2

REFERENCES

M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, 1964 (and various reprintings), p. 828.

LINKS

Seiichi Manyama, Table of n, a(n) for n = 11..1000

M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 [alternative scanned copy].

FORMULA

D-finite with recurrence -3*(3*n+10)*(n-11)*(n+3)*(3*n+11)*a(n) + 8*n*(4*n-3)*(2*n-1)*(4*n-1)*a(n-1) = 0. - R. J. Mathar, Mar 19 2025

a(n) ~ 2^(8*n+1/2) / (3^(3*n+23/2) * sqrt(Pi*n)). - Amiram Eldar, Sep 07 2025

MATHEMATICA

Table[Binomial[4n, n-11], {n, 11, 30}] (* Harvey P. Dale, Jul 02 2017 *)

CROSSREFS

Sequence in context: A163272 A165283 A141407 * A222199 A288459 A173155

Adjacent sequences: A004338 A004339 A004340 * A004342 A004343 A004344

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved