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

Author

N. J. A. Sloane, Jan 19 2003

Keywords

• nonn

Links

• 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).

Crossrefs

See A049235 for more information.

Cf. A002293, A078995.

Formula

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

a(n) = ( (4*n^2+11*n+8) * A002293(n+1) - A078995(n+1) ) / 2. - Sean A. Irvine, Jul 02 2025