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A334013 a(n) is the least integer that is the sum of two nonzero tetrahedral numbers in exactly n ways. 1

%I #9 Apr 13 2020 10:15:23

%S 2,140,102424,43322844421220

%N a(n) is the least integer that is the sum of two nonzero tetrahedral numbers in exactly n ways.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/TetrahedralNumber.html">Tetrahedral Number</a>

%H <a href="/index/Ps#pyramidal_numbers">Index to sequences related to pyramidal numbers</a>

%e Let Te(k) denote the k-th tetrahedral number, then

%e a(1) = Te(1) + Te(1);

%e a(2) = Te(7) + Te(6) = Te(8) + Te(4);

%e a(3) = Te(82) + Te(34) = Te(83) + Te(27) = Te(84) + Te(7);

%e a(4) = Te(60500) + Te(33760) = Te(53311) + Te(47682) = Te(63383) + Te(17423) = Te(63495) + Te(15790);

%Y Cf. A000292, A010329, A011541, A053587.

%K nonn,hard,more

%O 1,1

%A _Ilya Gutkovskiy_, Apr 12 2020

%E a(4) from _Giovanni Resta_, Apr 13 2020

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Last modified May 10 05:27 EDT 2024. Contains 372356 sequences. (Running on oeis4.)