A184703 -id:A184703 - cp's OEIS frontend

A184706 Number of strings of numbers x(i=1..6) in 0..n with sum ix(i) equal to n6.

4, 21, 74, 207, 476, 985, 1842, 3226, 5325, 8414, 12766, 18789, 26860, 37525, 51301, 68893, 90956, 118400, 152035, 192973, 242223, 301121, 370866, 453070, 549139, 660950, 790169, 938961, 1109233, 1303498, 1523921, 1773345, 2054255, 2369845

Offset: 1

R. H. Hardin Jan 20 2011

nonn

Row 6 of A184703

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

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

Empirical: a(n)=3*a(n-2)+2*a(n-3)-3*a(n-4)-5*a(n-5)+3*a(n-7)+a(n-8)+a(n-9)+3*a(n-10)-5*a(n-12)-3*a(n-13)+2*a(n-14)+3*a(n-15)-a(n-17)

A184707 Number of strings of numbers x(i=1..7) in 0..n with sum ix(i) equal to n7.

Original entry on oeis.org

5, 35, 154, 504, 1349, 3142, 6575, 12688, 22923, 39266, 64315, 101460, 154942, 230095, 333394, 472735, 657496, 898863, 1209864, 1605777, 2104139, 2725200, 3491939, 4430572, 5570527, 6945053, 8591154, 10550253, 12868125, 15595628

Offset: 1

R. H. Hardin Jan 20 2011

nonn

Row 7 of A184703

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

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

Empirical: a(n)=a(n-1)+a(n-2)-a(n-5)-a(n-7)-a(n-8)+a(n-10)+a(n-11)+2*a(n-12)-2*a(n-16)-a(n-17)-a(n-18)+a(n-20)+a(n-21)+a(n-23)-a(n-26)-a(n-27)+a(n-28)

A184708 Number of strings of numbers x(i=1..8) in 0..n with sum ix(i) equal to n8.

Original entry on oeis.org

6, 58, 304, 1169, 3571, 9353, 21713, 46037, 90595, 167917, 295811, 499442, 812681, 1281088, 1963602, 2936595, 4295937, 6162309, 8683612, 12041794, 16455557, 22188902, 29554150, 38922422, 50726886, 65475486, 83754336, 106242925

Offset: 1

R. H. Hardin Jan 20 2011

nonn

Row 8 of A184703

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

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

Empirical: a(n)=2*a(n-2)+2*a(n-3)-3*a(n-5)-3*a(n-6)-a(n-7)+2*a(n-8)+2*a(n-9)-a(n-11)+a(n-12)+3*a(n-13)+2*a(n-14)-3*a(n-16)-4*a(n-17)-3*a(n-18)+2*a(n-20)+3*a(n-21)+a(n-22)-a(n-23)+2*a(n-25)+2*a(n-26)-a(n-27)-3*a(n-28)-3*a(n-29)+2*a(n-31)+2*a(n-32)-a(n-34)

A184709 Number of strings of numbers x(i=1..9) in 0..n with sum ix(i) equal to n9.

Original entry on oeis.org

8, 91, 580, 2574, 8939, 26146, 67105, 155645, 332729, 665317, 1257898, 2268061, 3925640, 6557703, 10618287, 16725802, 25706637, 38648840, 56963074, 82456645, 117416301, 164706836, 227880334, 311304767, 420304310, 561323415, 742104234

Offset: 1

R. H. Hardin Jan 20 2011

nonn

Row 9 of A184703

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

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

Empirical: a(n)=a(n-1)+a(n-2)+a(n-3)-a(n-4)-2*a(n-5)-a(n-7)+a(n-8)-a(n-9)+a(n-10)+a(n-11)+3*a(n-12)+a(n-13)-a(n-14)-a(n-15)-2*a(n-16)-a(n-17)-3*a(n-18)+3*a(n-21)+a(n-22)+2*a(n-23)+a(n-24)+a(n-25)-a(n-26)-3*a(n-27)-a(n-28)-a(n-29)+a(n-30)-a(n-31)+a(n-32)+2*a(n-34)+a(n-35)-a(n-36)-a(n-37)-a(n-38)+a(n-39)

A184710 Number of strings of numbers x(i=1..10) in 0..n with Sum_{i=1..10} ix(i) = n10.

Original entry on oeis.org

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

R. H. Hardin, Jan 20 2011

nonn

			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

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

Row 10 of A184703.

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).

A184711 Number of strings of numbers x(i=1..11) in 0..n with sum ix(i) equal to n11.

Original entry on oeis.org

12, 215, 1901, 11071, 48701, 175410, 543050, 1493647, 3734127, 8629470, 18668476, 38179126, 74385462, 138932619, 250023457, 435361212, 736109581, 1212153012, 1948954846, 3066408954, 4730088166, 7165425434, 10675359121, 15662148169

Offset: 1

R. H. Hardin Jan 20 2011

nonn

Row 11 of A184703

			Some solutions for n=5
..0....1....4....0....3....5....4....5....0....1....2....5....1....2....1....5
..0....0....4....5....0....1....5....0....5....4....4....0....3....3....0....1
..0....1....2....3....1....1....3....0....0....1....2....0....3....1....4....0
..5....2....1....1....1....1....3....2....5....2....0....3....1....2....3....2
..2....0....2....0....0....1....0....0....1....0....0....3....0....2....3....1
..0....1....1....1....0....2....0....4....0....1....2....2....3....0....1....0
..0....1....1....0....1....2....0....0....0....3....1....0....0....1....0....1
..2....1....0....2....1....0....0....1....0....1....0....0....1....1....0....1
..1....0....0....0....0....0....0....0....1....0....1....0....1....0....1....0
..0....0....1....1....3....1....2....1....0....0....0....0....0....0....0....2
..0....2....0....0....0....0....0....0....1....0....1....1....0....1....0....0

R. H. Hardin, Table of n, a(n) for n = 1..129

cp's OEIS Frontend

A184706 Number of strings of numbers x(i=1..6) in 0..n with sum i*x(i) equal to n*6.

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A184707 Number of strings of numbers x(i=1..7) in 0..n with sum i*x(i) equal to n*7.

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A184708 Number of strings of numbers x(i=1..8) in 0..n with sum i*x(i) equal to n*8.

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A184709 Number of strings of numbers x(i=1..9) in 0..n with sum i*x(i) equal to n*9.

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A184710 Number of strings of numbers x(i=1..10) in 0..n with Sum_{i=1..10} i*x(i) = n*10.

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A184711 Number of strings of numbers x(i=1..11) in 0..n with sum i*x(i) equal to n*11.

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A184706 Number of strings of numbers x(i=1..6) in 0..n with sum ix(i) equal to n6.

A184707 Number of strings of numbers x(i=1..7) in 0..n with sum ix(i) equal to n7.

A184708 Number of strings of numbers x(i=1..8) in 0..n with sum ix(i) equal to n8.

A184709 Number of strings of numbers x(i=1..9) in 0..n with sum ix(i) equal to n9.

A184710 Number of strings of numbers x(i=1..10) in 0..n with Sum_{i=1..10} ix(i) = n10.

A184711 Number of strings of numbers x(i=1..11) in 0..n with sum ix(i) equal to n11.