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A074314
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Deficient triangular numbers.
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1
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1, 3, 10, 15, 21, 45, 55, 91, 105, 136, 153, 171, 190, 231, 253, 325, 351, 406, 435, 465, 561, 595, 703, 741, 861, 903, 946, 1035, 1081, 1225, 1275, 1378, 1431, 1485, 1653, 1711, 1891, 1953, 2145, 2211, 2278, 2415, 2485, 2701, 2775, 2926, 3003, 3081, 3321
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OFFSET
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1,2
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COMMENTS
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LINKS
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EXAMPLE
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a(5)=21 because sum of aliquot divisors of 21( which is a triangular number) is 1+3+7=11 which is less than 21, hence it is deficient. 21 is 5th deficient triangular number.
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MAPLE
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with(numtheory): [select(n -> sigma(n) < 2*n, [seq(k*(k+1)/2, k=1..100)])]; # Muniru A Asiru, Mar 22 2018
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MATHEMATICA
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Select[Accumulate[Range[100]], DivisorSigma[1, #]<2#&] (* Harvey P. Dale, Jun 12 2023 *)
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PROG
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(GAP) Filtered(List([1..100], k->k*(k+1)/2), n->Sigma(n)<2*n); # Muniru A Asiru, Mar 22 2018
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CROSSREFS
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KEYWORD
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base,nonn
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AUTHOR
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STATUS
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approved
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