id:A132315 - OEIS Search Results

Search: id:A132315

Displaying 1-1 of 1 results found.

page 1

Sum of the non-fourth powers less than or equal to n.

+0
1

0, 2, 5, 9, 14, 20, 27, 35, 44, 54, 65, 77, 90, 104, 119, 119, 136, 154, 173, 193, 214, 236, 259, 283, 308, 334, 361, 389, 418, 448, 479, 511, 544, 578, 613, 649, 686, 724, 763, 803, 844, 886, 929, 973, 1018, 1064, 1111, 1159, 1208, 1258, 1309, 1361, 1414, 1468 (list; graph; listen)

	OFFSET	`1,2`
	FORMULA	`Let r = floor(n^(1/4)). Then a(n) = n(n+1)/2 - (r^5/5+r^4/2+r^3/3-r/30).`
	EXAMPLE	`Let n=16.` `The sum of the non-quartic numbers <= 16 is 2+3+4+5+6+7+8+9+10+11+12+13+14+15 = 119, the 16-th entry in the sequence.`
	PROGRAM	`(PARI) g4(n)=for(x=1, n, r=floor(x^(1/4)); sum4=r^5/5+r^4/2+r^3/3-r/30; sn=x*(x+1)/2; print1(sn-sum4", "))`
	CROSSREFS	`Sequence in context: A132296 A112265 A075543 this_sequence A132336 A000096 A080956` `Adjacent sequences: A132312 A132313 A132314 this_sequence A132316 A132317 A132318`
	KEYWORD	`nonn`
	AUTHOR	`Cino Hilliard (hillcino368(AT)hotmail.com), Nov 07 2007`

page 1

Search completed in 0.002 seconds

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

AT&T Labs Research