A184318 -id:A184318 - cp's OEIS frontend

A184312 Number of strings of numbers x(i=1..n) in 0..3 with sum i^2x(i)^3 equal to n^227.

1, 1, 1, 1, 2, 2, 6, 30, 69, 230, 662, 2244, 6197, 20782, 57963, 185236, 534294, 1636436, 4788888, 14148505, 41505698, 119551191, 347802192, 984873101, 2823972122, 7899999963, 22281193586, 61710573450, 171287868395, 469925476292

Offset: 1

R. H. Hardin, Jan 10 2011

nonn

Column 3 of A184318.

			All solutions for n=5
..0....0
..0....0
..3....0
..3....0
..0....3

R. H. Hardin, Table of n, a(n) for n = 1..40

Cf. A184318.

A184311 Number of strings of numbers x(i=1..n) in 0..2 with sum i^2x(i)^3 equal to n^28.

Original entry on oeis.org

1, 1, 1, 2, 2, 2, 3, 8, 12, 21, 47, 117, 316, 707, 1806, 4044, 9736, 21215, 47912, 104631, 225418, 486719, 1024621, 2189311, 4554744, 9632597, 19938907, 41704600, 86022324, 177951143, 365177921, 746905649, 1521061254, 3075578686, 6201375023

Offset: 1

R. H. Hardin Jan 10 2011

nonn

Column 2 of A184318

			All solutions for n=5
..0....0
..0....0
..0....2
..0....2
..2....0

R. H. Hardin, Table of n, a(n) for n = 1..61

A184313 Number of strings of numbers x(i=1..n) in 0..4 with Sum_{i=1..n} i^2x(i)^3 = n^264.

Original entry on oeis.org

1, 1, 1, 1, 2, 2, 5, 16, 68, 244, 1106, 4041, 15802, 60716, 234319, 885466, 3369738, 12612488, 47251424, 174691216, 644760884, 2353213266, 8557977690, 30825999521, 110546795278, 393117952349, 1390864413489, 4884724958228, 17059662985333, 59193590868065, 204181359943483

Offset: 0

R. H. Hardin, Jan 10 2011

nonn

			All solutions for n=5:
..0....0
..0....0
..0....4
..0....4
..4....0

Alois P. Heinz, Table of n, a(n) for n = 0..100 (terms n = 1..31 from R. H. Hardin)

Column 4 of A184318.

a(0)=1 prepended by Alois P. Heinz, Nov 29 2024

A184319 Number of strings of numbers x(i=1..4) in 0..n with sum i^2x(i)^3 equal to 16n^3.

Original entry on oeis.org

1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 3, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 4, 4, 1, 5, 2, 2, 2, 3, 1, 2, 3, 2, 5, 3, 1, 6, 4, 2, 2, 3, 2, 3, 2, 3, 7, 3, 1, 4, 1, 2, 6, 3, 1, 3, 3, 2, 3, 5, 1, 4, 6, 3, 3, 6, 1, 3, 2, 2, 2, 6, 1, 3, 5, 2, 5, 2, 1, 5, 6, 2, 7, 10, 1, 5, 7, 2, 9, 9, 2, 8, 1

Offset: 1

R. H. Hardin, Jan 10 2011

nonn

Row 4 of A184318.

			All solutions for n=5
..0
..0
..0
..5

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

Cf. A184318.

A184320 Number of strings of numbers x(i=1..5) in 0..n with sum i^2x(i)^3 equal to 25n^3.

Original entry on oeis.org

2, 2, 2, 2, 3, 3, 3, 2, 3, 4, 4, 4, 2, 4, 7, 3, 11, 6, 6, 9, 8, 11, 16, 12, 12, 4, 16, 10, 17, 24, 16, 18, 18, 40, 26, 26, 21, 38, 30, 31, 29, 30, 36, 41, 37, 46, 29, 45, 45, 40, 56, 49, 49, 67, 47, 56, 53, 75, 68, 82, 61, 80, 58, 71, 66, 91, 83, 123, 79, 98, 84, 102, 85, 103, 78, 118, 96

Offset: 1

R. H. Hardin Jan 10 2011

nonn

Row 5 of A184318

			All solutions for n=5
..0....1....0
..0....5....0
..0....0....5
..0....4....5
..5....4....0

R. H. Hardin, Table of n, a(n) for n = 1..127

A184321 Number of strings of numbers x(i=1..6) in 0..n with sum i^2x(i)^3 equal to 36n^3.

Original entry on oeis.org

1, 2, 2, 5, 5, 11, 7, 18, 15, 26, 37, 47, 50, 63, 80, 93, 112, 116, 141, 169, 165, 219, 220, 259, 291, 343, 358, 376, 464, 527, 522, 596, 621, 735, 809, 781, 941, 979, 1007, 1195, 1217, 1277, 1297, 1495, 1528, 1688, 1810, 1826, 1966, 2151, 2205, 2375, 2474, 2625

Offset: 1

R. H. Hardin Jan 10 2011

nonn

Row 6 of A184318

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

R. H. Hardin, Table of n, a(n) for n = 1..72

A184310 Number of strings of numbers x(i=1..n) in 0..n with sum i^2*x(i)^3 equal to n^5.

Original entry on oeis.org

1, 1, 1, 2, 3, 11, 69, 1056, 12904, 205011, 3388897

Offset: 1

R. H. Hardin Jan 10 2011

nonn

Diagonal of A184318

			All solutions for n=5
..0....1....0
..0....5....0
..0....0....5
..0....4....5
..5....4....0

A184314 Number of strings of numbers x(i=1..n) in 0..5 with sum i^2x(i)^3 equal to n^2125.

Original entry on oeis.org

1, 1, 1, 1, 3, 5, 38, 126, 763, 3133, 16238, 73471, 351014, 1598928, 7535811, 34241961, 158047447, 707980011, 3201074948, 14163106405, 62844039157, 274433474196, 1196984190795

Offset: 1

R. H. Hardin Jan 10 2011

nonn

Column 5 of A184318

			Some solutions for n=7
..2....0....4....4....1....0....4....3....4....0....5....4....0....0....3....3
..0....0....1....1....1....0....5....5....1....0....1....3....5....0....5....5
..1....1....5....4....2....0....5....3....1....4....4....5....5....1....5....0
..5....1....3....1....4....0....2....2....4....4....0....2....0....4....4....4
..0....4....0....1....4....0....2....4....4....1....5....2....0....2....1....1
..3....5....5....4....2....0....3....4....2....5....3....5....5....5....2....5
..4....0....0....4....4....5....4....3....4....0....3....0....0....2....4....1

A184315 Number of strings of numbers x(i=1..n) in 0..6 with sum i^2x(i)^3 equal to n^2216.

Original entry on oeis.org

1, 1, 1, 2, 3, 11, 50, 319, 1602, 9343, 50393, 283099, 1556175, 8533115, 46312121, 249809141, 1336482621, 7081839063

Offset: 1

R. H. Hardin Jan 10 2011

nonn

Column 6 of A184318

			All solutions for n=5
..0....0....0
..0....0....2
..0....6....3
..0....6....5
..6....0....5

A184316 Number of strings of numbers x(i=1..n) in 0..7 with sum i^2x(i)^3 equal to n^2343.

Original entry on oeis.org

1, 1, 1, 1, 3, 7, 69, 574, 3336, 23562, 140933, 948340, 5733551, 37091416, 225775799, 1419329282, 8589008422

Offset: 1

R. H. Hardin Jan 10 2011

nonn

Column 7 of A184318

			All solutions for n=5
..0....0....7
..0....0....4
..0....7....4
..0....7....5
..7....0....6

cp's OEIS Frontend

A184312 Number of strings of numbers x(i=1..n) in 0..3 with sum i^2*x(i)^3 equal to n^2*27.

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A184311 Number of strings of numbers x(i=1..n) in 0..2 with sum i^2*x(i)^3 equal to n^2*8.

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A184313 Number of strings of numbers x(i=1..n) in 0..4 with Sum_{i=1..n} i^2*x(i)^3 = n^2*64.

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A184319 Number of strings of numbers x(i=1..4) in 0..n with sum i^2*x(i)^3 equal to 16*n^3.

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A184320 Number of strings of numbers x(i=1..5) in 0..n with sum i^2*x(i)^3 equal to 25*n^3.

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A184321 Number of strings of numbers x(i=1..6) in 0..n with sum i^2*x(i)^3 equal to 36*n^3.

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A184310 Number of strings of numbers x(i=1..n) in 0..n with sum i^2*x(i)^3 equal to n^5.

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A184314 Number of strings of numbers x(i=1..n) in 0..5 with sum i^2*x(i)^3 equal to n^2*125.

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A184315 Number of strings of numbers x(i=1..n) in 0..6 with sum i^2*x(i)^3 equal to n^2*216.

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A184316 Number of strings of numbers x(i=1..n) in 0..7 with sum i^2*x(i)^3 equal to n^2*343.

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A184312 Number of strings of numbers x(i=1..n) in 0..3 with sum i^2x(i)^3 equal to n^227.

A184311 Number of strings of numbers x(i=1..n) in 0..2 with sum i^2x(i)^3 equal to n^28.

A184313 Number of strings of numbers x(i=1..n) in 0..4 with Sum_{i=1..n} i^2x(i)^3 = n^264.

A184319 Number of strings of numbers x(i=1..4) in 0..n with sum i^2x(i)^3 equal to 16n^3.

A184320 Number of strings of numbers x(i=1..5) in 0..n with sum i^2x(i)^3 equal to 25n^3.

A184321 Number of strings of numbers x(i=1..6) in 0..n with sum i^2x(i)^3 equal to 36n^3.

A184314 Number of strings of numbers x(i=1..n) in 0..5 with sum i^2x(i)^3 equal to n^2125.

A184315 Number of strings of numbers x(i=1..n) in 0..6 with sum i^2x(i)^3 equal to n^2216.

A184316 Number of strings of numbers x(i=1..n) in 0..7 with sum i^2x(i)^3 equal to n^2343.