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 A303741 Numbers k such that A(k+1) = A(k) + 2, where A() = A005101() are the abundant numbers. 4
 2, 7, 10, 14, 16, 19, 22, 23, 26, 31, 36, 39, 44, 45, 48, 51, 52, 59, 62, 65, 70, 71, 74, 79, 81, 82, 83, 86, 87, 90, 93, 96, 99, 104, 107, 110, 111, 114, 118, 120, 125, 128, 131, 133, 135, 138, 141, 146, 149, 150, 155, 156, 158, 164, 169, 170, 175, 178, 179 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Amiram Eldar, Table of n, a(n) for n = 1..10000 (terms 1..5000 from Muniru A Asiru) FORMULA Sequence is { k | A005101(k+1) = A005101(k) + 2 }. MAPLE with(numtheory): A:=select(n->sigma(n)>2*n, [\$1..1000]): a:=select(j->A[j+1]=A[j]+2, [\$1..nops(A)-1]); MATHEMATICA Position[Differences[Select[Range[750], DivisorSigma[1, #] > 2*# &]], 2] // Flatten (* Amiram Eldar, Mar 15 2024 *) PROG (GAP) A:=Filtered([1..1000], n->Sigma(n)>2*n);; a:=Filtered([1..Length(A)-1], i->A[i+1]=A[i]+2); CROSSREFS A231086 is the main entry for this sequence. Cf. A005101, A096399, A169822. Sequence in context: A297832 A003158 A130336 * A085303 A304799 A349499 Adjacent sequences: A303738 A303739 A303740 * A303742 A303743 A303744 KEYWORD nonn AUTHOR Muniru A Asiru, Jun 22 2018 STATUS approved

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Last modified May 23 18:13 EDT 2024. Contains 372765 sequences. (Running on oeis4.)