Logo

Greetings from The On-Line Encyclopedia of Integer Sequences!

Hints

Search: id:A163744
Displaying 1-1 of 1 results found. page 1
     Format: long | short | internal | text      Sort: relevance | references | number      Highlight: on | off
A163744 Smallest positive m such that A050410(m) = 0 (mod n!). +0
1
1, 1, 3, 4, 23, 23, 608, 3703, 59063, 65975, 65975, 65975, 3227648, 83180983 (list; graph; listen)
OFFSET

1,3

COMMENT

Smallest positive m such that m-th truncated square pyramid number tsp(m)=m*(7*m-1)*(2*m-1)/6 is divisible by n!, n=0,1,.. .

EXAMPLE

a(3)=3 because tsp(3)=126 is divisible by 3!: 126/3!=21

a(5)=23 because tsp(23)=27600 is divisible by 5!: 27600/5!=230

a(6)=608 because tsp(608)=523875600 is divisible by 6!: 523875600/6!=727605.

CROSSREFS

Cf. A050410 Truncated square pyramid numbers:a(n)=sum(k^2, k=n..2*n-1)=(1/6)n(7n-1)(2n-1).

Sequence in context: A012247 A057791 A122660 this_sequence A042595 A002351 A042035

Adjacent sequences: A163741 A163742 A163743 this_sequence A163745 A163746 A163747

KEYWORD

nonn

AUTHOR

Zak Seidov (zakseidov(AT)gmail.com), Aug 03 2009

page 1

Search completed in 0.002 seconds

Lookup | Welcome | Find friends | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Puzzles | Hot | Classics
More pages | Superseeker | Maintained by N. J. A. Sloane (njas@research.att.com)

Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


AT&T Labs Research