id:A104244 - OEIS Search Results

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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(n,x)=Pn(x) read by antidiagonals. A090883 is the main diagonal of this table.

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0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 3, 1, 0, 2, 4, 2, 4, 1, 0, 1, 3, 9, 2, 5, 1, 0, 3, 8, 4, 16, 2, 6, 1, 0, 2, 3, 27, 5, 25, 2, 7, 1, 0, 2, 4, 3, 64, 6, 36, 2, 8, 1, 0, 1, 5, 6, 3, 125, 7, 49, 2, 9, 1, 0, 3, 16, 10, 8, 3, 216, 8, 64, 2, 10, 1, 0, 1, 4, 81, 17, 10, 3, 343, 9, 81, 2, 11, 1, 0, 2, 32, 5 (list; table; graph; listen)

	OFFSET	`0,7`
	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. A104245.` `Sequence in context: A117444 A015504 A055892 this_sequence A116403 A123149 A061926` `Adjacent sequences: A104241 A104242 A104243 this_sequence A104245 A104246 A104247`
	KEYWORD	`easy,nonn,tabl`
	AUTHOR	`Olaf Voss (richyfourtythree(AT)yahoo.com), Feb 26 2005`

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Last modified December 10 12:37 EST 2009. Contains 170569 sequences.

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