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A334007 a(n) is the least integer that can be expressed as the sum of one or more consecutive nonzero triangular numbers in exactly n ways. 7
1, 10, 2180, 10053736, 13291443468940 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
LINKS
Eric Weisstein's World of Mathematics, Triangular Number
EXAMPLE
Let S(k, m) denote the sum of m triangular numbers starting from k(k+1)/2. We have
a(1) = S(1, 1);
a(2) = S(4, 1) = S(1, 3);
a(3) = S(31, 4) = S(27, 5) = S(9, 15);
a(4) = S(945, 22) = S(571, 56) = S(968, 21) = S(131, 266);
a(5) = S(4109, 38947) = S(25213, 20540) = S(10296, 32943) = S(32801, 15834) = S(31654, 16472).
CROSSREFS
Sequence in context: A328360 A114776 A249850 * A155870 A369811 A167775
KEYWORD
nonn,hard,more
AUTHOR
Ilya Gutkovskiy, Apr 12 2020
EXTENSIONS
a(5) from Giovanni Resta, Apr 13 2020
STATUS
approved

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Last modified March 28 20:05 EDT 2024. Contains 371254 sequences. (Running on oeis4.)