A110453 Floor[Product of all k-digit numbers starting from n where k is the number of digits in n divided by product of all k-digit numbers less than n].

362880, 362880, 90720, 10080, 630, 25, 0, 0, 0

Offset

1,1

Comments

That is, a(n) = Floor[ n*(n+1)...*(10^k-1)/R, where k is the number of digits in n and R = (n-1)(n-2)...(10^(k-1)+1}{10^(k-1))].

Comment from David Wasserman, Dec 01 2008: There is no room for the next term, which is

257182031095525112107857249934597388918419224714455526533820998388496472\

644482792132224051962512451185663850090463028434334174412800000000000000\

0000000.

Links

Table of n, a(n) for n=1..9.

Example

a(5) = 5*6*7*8*9/(4!)=630.

Crossrefs

Sequence in context: A263213 A109160 A269127 * A110452 A354708 A011520

Adjacent sequences: A110450 A110451 A110452 * A110454 A110455 A110456

Keyword

base,easy,nonn

Author

Amarnath Murthy, Aug 04 2005

Status

approved