A161136 Triangular array S(m,n), 1<=n<=m, giving the total number of tossed cards in the card game described in A161135.

1, 2, 3, 3, 8, 9, 4, 7, 17, 18, 5, 17, 57, 79, 80, 6, 35, 25, 113, 195, 196, 7, 48, 165, 326, 355, 553, 554, 8, 15, 154, 500, 982, 1264, 1823, 1824, 9, 34, 81, 661, 1667, 2804, 466, 2291, 2292, 10, 99, 99, 168, 1055, 2284, 2624, 4923, 7217, 7218, 11, 32, 606, 2069

Offset

1,2

Comments

Formatted as a triangular array:

m=1: 1

m=2: 2, 3

m=3: 3, 8, 9

m=4: 4, 7, 17, 18

m=5: 5, 17, 57, 79, 80

m=6: 6, 35, 25, 113, 195, 196

m=7: 7, 48, 165, 326, 355, 553, 554

m=8: 8, 15, 154, 500, 982, 1264, 1823, 1824

m=9: 9, 34, 81, 661, 1667, 2804, 466, 2291, 2292

m=10: 10, 99, 99, 168, 1055, 2284, 2624, 4923, 7217, 7218

m=11: 11, 32, 606, 2069, 4988, 9133, 22910, 4871, 38298, 45521, 45522

m=12: 12, 70, 215, 782, 3170, 9850, 39347, 40076, 147279, 242603, 288134, 288135

Links

Table of n, a(n) for n=1..59.

Formula

S(m,m)=S(m,m-1)+1

Prog

(PARI) { T(m, n) = local(v, r, k, t); v=vector(n); v[1]=m; r=0; k=1; until( vecmax(v)==m, t=v[k]; r+=t; v[k]=0; k=0; while(t, k++; if(k>n, k=1); v[k]++; t--) ); r }

Crossrefs

A161135 (the number of deals)

Sequence in context: A326549 A326688 A011155 * A258163 A108381 A238761

Adjacent sequences: A161133 A161134 A161135 * A161137 A161138 A161139

Keyword

nonn,tabf

Author

Max Alekseyev, Jun 02 2009

Status

approved