login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Number of values of k for which sigma(k)-k is a permutation of decimal digits of k, for k < 2^n.
0

%I #23 Feb 24 2014 07:59:36

%S 0,0,1,1,2,2,2,2,4,5,6,8,13,17,32,47,63,98,189,279,437,782,1368,2062,

%T 3611,6311,9674

%N Number of values of k for which sigma(k)-k is a permutation of decimal digits of k, for k < 2^n.

%F a(n) = # { k in A085844 | k < 2^n }. - _M. F. Hasler_, Feb 24 2014

%e a(12) = 8 because the values of k satisfying the condition for k < 2^12 are {6, 28, 411, 496, 604, 1305, 3664, 4086}. - _V. Raman_, Feb 18 2014

%o (PARI) a(n)=sum(k=1, 2^n, vecsort(digits(k)) == vecsort(digits(sigma(k)-k))) \\ Use digits(n)=eval(Vec(Str(n))) in old versions of PARI. - _V. Raman_, Feb 18 2014, edited by _M. F. Hasler_, Feb 24 2014

%Y Cf. A085844, A001065.

%K nonn,base,more

%O 1,5

%A _V. Raman_, Sep 06 2012