A230409 Partial sums of A230407.

0, -1, 0, 3, -2, -3, 0, 1, 4, -1, -2, 5, 4, -1, -2, -7, -2, 3, -2, -13, -12, -9, -20, -19, -22, -19, -18, -15, -20, -21, -14, -15, -20, -21, -26, -21, -16, -21, -32, -31, -28, -49, -48, -51, -54, -45, -44, -45, -50, -51, -56, -51, -46, -51, -62, -61, -58, -79

Offset: 0

Author

Antti Karttunen, Nov 10 2013

Keywords

• sign

Comments

The term a(n) indicates approximately the "balance" of the factorial beanstalk (cf. A219666) at n steps up from the root, which in turn correlates with the behavior of such sequences as A219662 and A219663.

This sequence relates to the factorial base representation (A007623) in the same way as A218789 relates to the binary system.

Question: When will a negative term occur next time, after a(251) = -41 ?

Links

• Antti Karttunen, Table of n, a(n) for n = 0..21622

Crossrefs

Cf. A230407 & A230408, A219662 & A219663.

Formula

a(0) = 0, a(n) = a(n-1) + A230407(n).