cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-2 of 2 results.

A087084 Number of integer elements in the subsets of the subsets of the integers 1 to n.

Original entry on oeis.org

0, 0, 2, 32, 1536, 1048576, 171798691840, 1770887431076116955136, 76223250190290215815795912064716079366144
Offset: 0

Views

Author

Alan Sutcliffe (alansut(AT)ntlworld.com), Aug 13 2003

Keywords

Examples

			a(3)=32 since the 16 subsets of the sets ( ) (1) (2) (1,2) are ( ) (( )) ((1)) ((2)) ((1,2)) (( ) (1)) (( ) (2)) (( ) (1,2)) ((1) (2)) ((1) (1,2)) ((2) (1,2)) (( ) (1) (2)) (( ) (1) (1,2)) (( ) (2) (1,2)) ((1) (2) (1,2)) (( ) (1) (2) (1,2)) and these contain 32 integer elements.
		

References

  • Alan Sutcliffe, Divisors and Common Factors in Sets of Integers, awaiting publication.

Crossrefs

A001146 gives the number of subsets of the subsets of the integers 1 to n. A028369 gives the number of subset elements in the subsets of the subsets of the integers 1 to n.

Formula

(n-1)*2^(n-3+2^(n-1))

A087085 Sum of the integer elements in the subsets of the subsets of the integers 1 to n.

Original entry on oeis.org

0, 0, 2, 48, 3072, 2621440, 515396075520, 6198106008766409342976, 304893000761160863263183648258864317464576
Offset: 0

Views

Author

Alan Sutcliffe (alansut(AT)ntlworld.com), Aug 13 2003

Keywords

Examples

			a(3)=48 since the 16 subsets of the sets ( ) (1) (2) (1,2) are ( ) (( )) ((1)) ((2)) ((1,2)) (( ) (1)) (( ) (2)) (( ) (1,2)) ((1) (2)) ((1) (1,2)) ((2) (1,2)) (( ) (1) (2)) (( ) (1) (1,2)) (( ) (2) (1,2)) ((1) (2) (1,2)) (( ) (1) (2) (1,2)) and the sum of the 32 integer elements is 48.
		

References

  • Alan Sutcliffe, Divisors and Common Factors in Sets of Integers, awaiting publication.

Crossrefs

A001146 gives the number of subsets of the subsets of the integers 1 to n. A028369 gives the number of subset elements in the subsets of the subsets of the integers 1 to n. A087084 gives the number of integer elements in the subsets of the subsets of the integers 1 to n.

Formula

n*(n-1)*2^(n-4+2^(n-1))
Showing 1-2 of 2 results.