A078516 Sum of balls on the lawn for the s=4 tennis ball problem.

0, 10, 174, 2298, 27258, 305574, 3309444, 35022618, 364559760, 3748221288, 38170570414, 385768464918, 3874673308452, 38718126671076, 385227806897448, 3818752082440794, 37735160423265504, 371852044352248824, 3655440051907792536, 35857177310350860328

Offset

0,2

Links

Table of n, a(n) for n=0..19.

D. Merlini, R. Sprugnoli, and M. C. Verri, The tennis ball problem, J. Combin. Theory, A 99 (2002), 307-344 (S_n for s=4).

Formula

a(n) is asymptotic to c*sqrt(n)*(256/27)^n with c=2.8... - Benoit Cloitre, Jan 26 2003

Crossrefs

See A049235 for more information.

Sequence in context: A132676 A270958 A200574 * A304445 A268936 A144516

Adjacent sequences: A078513 A078514 A078515 * A078517 A078518 A078519

Keyword

nonn

Author

N. J. A. Sloane, Jan 19 2003

Status

approved