A184710 Number of strings of numbers x(i=1..10) in 0..n with sum i*x(i) equal to n*10

10, 142, 1066, 5439, 21310, 69331, 195760, 495251, 1146377, 2467215, 4994696, 9599863, 17642702, 31185762, 53268735, 88272866, 142374254, 224127675, 345174032, 521130514, 772646635, 1126707621, 1618154572, 2291530676

Offset

1,1

Comments

Row 10 of A184703

Links

R. H. Hardin, Table of n, a(n) for n = 1..200

Formula

Empirical: a(n)=2*a(n-2)+a(n-3)-a(n-6)-3*a(n-7)-2*a(n-8)+3*a(n-12)+4*a(n-13)+2*a(n-14)+3*a(n-15)+2*a(n-16)-3*a(n-17)-5*a(n-18)-4*a(n-19)-5*a(n-20)-4*a(n-21)-a(n-22)+2*a(n-23)+4*a(n-24)+6*a(n-25)+6*a(n-26)+4*a(n-27)+2*a(n-28)-a(n-29)-4*a(n-30)-5*a(n-31)-4*a(n-32)-5*a(n-33)-3*a(n-34)+2*a(n-35)+3*a(n-36)+2*a(n-37)+4*a(n-38)+3*a(n-39)-2*a(n-43)-3*a(n-44)-a(n-45)+a(n-48)+2*a(n-49)-a(n-51)

Example

Some solutions for n=3
..0....1....0....0....2....1....0....3....0....0....0....0....3....3....0....1
..1....2....1....3....0....0....1....3....3....2....2....1....0....0....1....3
..0....0....1....1....0....1....0....1....0....0....1....0....3....0....0....2
..1....2....1....0....3....0....1....1....2....3....0....3....2....1....0....0
..0....1....1....1....0....2....2....0....0....0....0....0....0....0....1....0
..0....2....0....0....0....0....0....1....0....1....0....1....0....0....1....0
..1....0....0....1....1....1....2....0....1....0....2....0....0....2....0....1
..1....0....2....0....0....0....0....1....0....1....0....0....0....0....1....0
..1....0....0....1....1....1....0....0....1....0....1....0....0....1....1....0
..0....0....0....0....0....0....0....0....0....0....0....1....1....0....0....1

Crossrefs

Sequence in context: A277372 A181162 A245988 * A263055 A159327 A356468

Adjacent sequences: A184707 A184708 A184709 * A184711 A184712 A184713

Keyword

nonn

Author

R. H. Hardin Jan 20 2011

Status

approved