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A055268 (11n+4)*C(n+3, 3)/4. 2
1, 15, 65, 185, 420, 826, 1470, 2430, 3795, 5665, 8151, 11375, 15470, 20580, 26860, 34476, 43605, 54435, 67165, 82005, 99176, 118910, 141450, 167050, 195975, 228501, 264915, 305515, 350610, 400520, 455576, 516120, 582505, 655095, 734265 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

a(n) is the number of compositions of n when there are 9 types of each natural number. [From Milan R. Janjic (agnus(AT)blic.net), Aug 13 2010]

REFERENCES

I. Adler, Three Diophantine equations - Part II, Fib. Quart., 7 (1969), pps. 181-193.

A. H. Beiler, Recreations in the Theory of Numbers, Dover, N.Y., 1964, pps. 122-125, 194-196.

E. I. Emerson, Recurrent Sequences in the Equation DQ^2=R^2+N, Fib. Quart.,7 (1969), pps. 231-242.

LINKS

Index to sequences with linear recurrences with constant coefficients, signature (5,-10,10,-5,1).

FORMULA

G.f. ( -1-10*x ) / (x-1)^5 . - R. J. Mathar, Oct 26 2011

CROSSREFS

Cf. A000292 and A050441.

Sequence in context: A005917 A027455 A152729 * A090026 A027526 A033653

Adjacent sequences:  A055265 A055266 A055267 * A055269 A055270 A055271

KEYWORD

easy,nonn

AUTHOR

Barry E. Williams, May 10 2000

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Last modified February 15 21:56 EST 2012. Contains 205860 sequences.