id:A104245 - OEIS Search Results

Search: id:A104245

Displaying 1-1 of 1 results found.

page 1

Suppose n=(p1^e1)(p2^e2)... where p1,p2,... are the prime numbers and e1,e2,... are nonnegative integers. Then we can define Pn(x) = e1 + (e2)*x + (e3)*(x^2) + (e4)*(x^3) + ... + (ek)*(x^(k-1)) + ... The sequence is the table T(x,n)=Pn(x) read by antidiagonals. A090883 is the main diagonal of this table.

+0
2

0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 3, 2, 1, 0, 1, 4, 2, 4, 2, 0, 1, 5, 2, 9, 3, 1, 0, 1, 6, 2, 16, 4, 8, 3, 0, 1, 7, 2, 25, 5, 27, 3, 2, 0, 1, 8, 2, 36, 6, 64, 3, 4, 2, 0, 1, 9, 2, 49, 7, 125, 3, 6, 5, 1, 0, 1, 10, 2, 64, 8, 216, 3, 8, 10, 16, 3, 0, 1, 11, 2, 81, 9, 343, 3, 10, 17, 81, 4, 1, 0, 1, 12, 2 (list; table; graph; listen)

	OFFSET	`0,9`
	EXAMPLE	`a(13)=3 because 3=(p1^0)(p2^1)(p3^0)..., so P3(x)=x. Hence a(13)=T(3,3)=P3(3)=3`
	CROSSREFS	`Cf. A104244.` `Adjacent sequences: A104242 A104243 A104244 this_sequence A104246 A104247 A104248` `Sequence in context: A035370 A105524 A000209 this_sequence A109754 A059259 A124394`
	KEYWORD	`easy,nonn,tabl`
	AUTHOR	`Olaf Voss (richyfourtythree(AT)yahoo.com), Feb 26 2005`

page 1

Search completed in 0.002 seconds

Last modified May 11 10:28 EDT 2008. Contains 139662 sequences.

AT&T Labs Research