A276715 -id:A276715 - cp's OEIS frontend

A276714 Numbers n such that n and n+3 have the same number and sum of divisors (A000005 and A000203).

42677635, 276742235, 6439057062, 7512673242, 43592652562, 48847956255, 48880963215, 55018687182, 60184185702, 91484515395, 100774916235, 101926379835, 111886551315, 122388340095, 133012188855, 137978601142, 247631352255, 263171068875, 293467635615, 305946896255

Offset: 1

Jaroslav Krizek, Sep 16 2016

nonn

Intersection of A015861 and A276713.

Also numbers n such that A229335(n) = A229335(n+3).

			42677635 is in sequence because tau(42677635) = tau(42677638) = 32 and sigma(42677635) = sigma(42677638) = 68769792.

Martin Ehrenstein, Table of n, a(n) for n = 1..30

Cf. A015861, A229335, A276713, A276715.

Cf. Similar sequences with numbers n such that n and n+k have the same number and sum of divisors for k=1: A054004, for k=2: A229254.

[n: n in [A015861(k)] | NumberOfDivisors(n) eq  NumberOfDivisors(n+3) and SumOfDivisors(n) eq  SumOfDivisors(n+3)]

More terms from Martin Ehrenstein, Jul 12 2024

cp's OEIS Frontend

A276714 Numbers n such that n and n+3 have the same number and sum of divisors (A000005 and A000203).

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