A033914 Numbers k such that s(k) + s(k+1) + ... + s(k+7) = t(k) + t(k+1) + ... + t(k+7).

34, 397, 1397, 1433, 1464, 2263, 3622, 3865, 5812, 7077, 10225, 27586, 291197, 313675, 458424, 477910, 566857, 585175, 1484279, 2831716, 7375819, 85175017, 97778116, 7790944015, 8083150857, 9521308617, 36133355554

Offset

1,1

Comments

a(28) > 10^11. - Donovan Johnson, Aug 15 2011

Links

Table of n, a(n) for n=1..27.

Formula

Here s(k) = sigma(k) - k, t(k) = |s(k) - k|.

Prog

(PARI) l=vector(8, n, abs(sigma(n)-2*n)-sigma(n)+n); l[8]=0; sc=sum(n=1, 8, l[n]); for(n=8, 1000000, m=sigma(n)-2*n; d=abs(m)-m-n; i=(n-1)%8+1; sc=sc-l[i]+d; l[i]=d; if(sc==0, print1(n-7, ", "))) \\ C. Ronaldo (aga_new_ac(AT)hotmail.com), Jan 02 2005

Crossrefs

Cf. A001065, A033880, A033910, A033911, A033912, A033913.

Sequence in context: A228995 A135243 A283227 * A189452 A159655 A271036

Adjacent sequences: A033911 A033912 A033913 * A033915 A033916 A033917

Keyword

nonn,more

Author

Naohiro Nomoto

Extensions

More terms from C. Ronaldo (aga_new_ac(AT)hotmail.com), Jan 02 2005

a(19)-a(27) from Donovan Johnson, Aug 15 2011

Status

approved