id:A074660 - OEIS Search Results

Search: id:A074660

Displaying 1-1 of 1 results found.

page 1

Second differences of A074658, which counts the convex partitions of n.

+0
3

1, 0, 1, -1, 2, 0, -2, 3, 2, -4, 3, 2, -6, 9, 3, -13, 6, 12, -14, 12, -1, -13, 14, 9, -14, 8, 4, -8, 6, 16, -37, 35, 10, -25, 19, 10, -45, 34, 30, -27, -8, 35, -37, 36, 8, -37, 21, 37, -51, 53, 1, -56, 41, 68, -79, 13, 29, -23, 16, 87, -98, 40, 38, -70, 43, 53, -81, 81, 35, -61, -28, 140, -132, 87, 80, -118, 5 (list; graph; listen)

	OFFSET	`0,5`
	COMMENT	`Up to n=246, the signs of the terms show some periodicity (mod 3): a(3n) is almost always negative and a(3n+2) is almost always positive. Does this continue?`
	FORMULA	`a(n) = A074659(n+1)-A074659(n) = A074658(n+2)-2*A074658(n+1)+A074658(n)`
	MATHEMATICA	`Table[a[n+2]-2a[n+1]+a[n], {n, 0, 76}] (* a[n] is defined in A074658. *)`
	CROSSREFS	`Cf. A074658, A074659.` `Sequence in context: A079957 A104513 A033769 this_sequence A002125 A171731 A135356` `Adjacent sequences: A074657 A074658 A074659 this_sequence A074661 A074662 A074663`
	KEYWORD	`sign`
	AUTHOR	`Dean Hickerson (dean.hickerson(AT)yahoo.com), Aug 29 2002`

page 1

Search completed in 0.002 seconds

Last modified March 14 16:07 EDT 2010. Contains 173425 sequences.

AT&T Labs Research