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a(n) is the smallest positive integer which can be represented as the sum of distinct nonzero n-gonal pyramidal numbers in exactly n ways, or 0 if no such integer exists.
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%I #10 Jan 09 2022 08:28:24

%S 140,490,1055,1872,2610,4255,5011,8708,7497,10819,12860,15636,18055,

%T 24275,27373,28146,30826,38178,41849,44025,36165,47621,57896,64648,

%U 60064,67125,71975,81820,77701,91584,91320,99835,98916,108686,112606,123180,120919,142270

%N a(n) is the smallest positive integer which can be represented as the sum of distinct nonzero n-gonal pyramidal numbers in exactly n ways, or 0 if no such integer exists.

%H Martin Ehrenstein, <a href="/A350210/b350210.txt">Table of n, a(n) for n = 3..1002</a>

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

%e For n = 3: 140 = 1 + 20 + 35 + 84 = 56 + 84 = 20 + 120. - _Martin Ehrenstein_, Jan 09 2022

%Y Cf. A080851, A350205, A350206, A350207, A350209, A350397.

%K nonn

%O 3,1

%A _Ilya Gutkovskiy_, Dec 19 2021

%E a(35)-a(40) from _Martin Ehrenstein_, Jan 09 2022