A008272 Total length of performances of n fragments in Stockhausen problem.

0, 10, 732, 47868, 3848320, 395925990, 51677715180, 8406604850392, 1673689684372128, 401132372917509090, 114061334769253037980, 37993391290097065722900, 14661377074205783294317152

Offset

1,2

Links

Table of n, a(n) for n=1..13.

R. C. Read, Combinatorial problems in theory of music, Discrete Math. 167 (1997), 543-551.

Ronald C. Read, Lily Yen, A note on the Stockhausen problem, J. Comb. Theory, Ser. A 76, No. 1 (1996), 1-10.

Formula

a(n) = 3 * A008271(n) + n * (n-1) * Sum_{k=0..n-2} binomial(n - 2, k) * (2 * k + 1) * (2 * k + 1)! * (2*k^2+3*k+2) / 2^k [from Read and Yen]. - Sean A. Irvine, Mar 08 2018

Crossrefs

Sequence in context: A006435 A108603 A053468 * A015509 A117257 A030979

Adjacent sequences: A008269 A008270 A008271 * A008273 A008274 A008275

Keyword

nonn

Author

Lily Yen

Status

approved