login
A033916
Numbers k such that s(k) + s(k+1) + ... + s(k+14) = t(k) + t(k+1) + ... + t(k+14).
0
537, 1557, 8313, 16493, 18149, 55849, 145029, 211581, 334577, 436915, 3445721, 20866521, 31321817, 66133149, 143953833, 472294345, 80640391857
OFFSET
1,1
COMMENTS
a(18) > 10^11. - Donovan Johnson, Aug 15 2011
FORMULA
Here s(k) = sigma(k) - k, t(k) = |s(k) - k|.
PROG
(PARI) l=vector(15, n, abs(sigma(n)-2*n)-sigma(n)+n); l[15]=0; sc=sum(n=1, 15, l[n]); for(n=15, 10000000, m=sigma(n)-2*n; d=abs(m)-m-n; i=(n-1)%15+1; sc=sc-l[i]+d; l[i]=d; if(sc==0, print1(n-14, ", "))) \\ C. Ronaldo (aga_new_ac(AT)hotmail.com), Jan 02 2005
KEYWORD
nonn,more
EXTENSIONS
More terms from C. Ronaldo (aga_new_ac(AT)hotmail.com), Jan 02 2005
a(12)-a(17) from Donovan Johnson, Aug 15 2011
STATUS
approved