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A226984 Smallest triangular number with exactly n representations as sum of 3 positive cubes. 0
3, 3655, 260281, 525825, 10656036, 5973696, 980691328, 4971191616, 1004794171200, 110457755136 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Sequence is apparently infinite.

These triangular numbers are m(m+1)/2 for m = 2, 85, 721, 1025, 4616, 3456, 44287, 99711.

LINKS

Table of n, a(n) for n=1..10.

EXAMPLE

n, m, t = m(m+1)/2. t = x^3 + y^3 + z^3:

n = 1, m = 2, t = 3, {x,y,z} = {1,1,1};

n = 2, m = 85, t = 3655, {x,y,z} = {4,6,15}, {9,9,13};

n = 3, m = 721, t = 260281, {x,y,z} = {1,28,62}, {10,42,57}, {15,19,63};

n = 4, m = 1025, t = 525825, {x,y,z} = {1,24,80}, {1,62,66}, {127,59,67}, {48,52,65};

n = 5, m = 4616, t = 10656036, {x,y,z} = {18,115,209}, {27,129,204}, {48,171,177}, {93,159,180}, {111,118,197};

n = 6, m = 3456, t = 5973696, {x,y,z} = {3,114,165}, {8,96,172}, {12,144,144}, {39,65,178}, {72,80,172}, {108,120,144};

n = 7, m = 44287, t = 980691328, {x,y,z} = {64,396,972}, {86,250,988}, {163,208,989}, {184,524,940}, {225,478,951}, {550,634,824}, {662,667,733}.

CROSSREFS

Cf. A000217 (triangular numbers), A003072 (sums of 3 positive cubes).

Cf. A119977 (triangular numbers that are the sum 3 positive cubes).

Sequence in context: A259157 A003831 A200735 * A196628 A089895 A116213

Adjacent sequences:  A226981 A226982 A226983 * A226985 A226986 A226987

KEYWORD

nonn,more

AUTHOR

Zak Seidov, Jun 25 2013

EXTENSIONS

a(9)-a(10) from Donovan Johnson, Jul 02 2013

STATUS

approved

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Last modified March 25 12:11 EDT 2019. Contains 321470 sequences. (Running on oeis4.)