id:A137823 - OEIS Search Results

Search: id:A137823

Displaying 1-1 of 1 results found.

page 1

Numbers occurring in A137822 : first differences of numbers n such that 3 | sum( Catalan(k), k=1..2n).

+0
3

1, 2, 3, 7, 8, 21, 61, 62, 183, 547, 548, 1641, 4921, 4922, 14763, 44287, 44288, 132861, 398581, 398582, 1195743, 3587227, 3587228, 10761681, 32285041, 32285042, 96855123, 290565367, 290565368, 871696101, 2615088301, 2615088302 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`This sequence consists of A122983 (which are record values of A137822, i.e. record gaps of A137821), plus the successor of every other term thereof (i.e. A122983(2k+1)+1). See A137822 for more details & formulae.` `The (very simple) sequence A137824 gives the index of A137822 at which A137823(n) occurs for the first time.`
	PROGRAM	`(PARI) A137823(n) = (n%3==2)+3^((n-1)*2\3+1)\4+1`
	CROSSREFS	`Cf. A107755, A122983, A137821-A137824.` `Sequence in context: A002964 A166966 A114281 this_sequence A024540 A029785 A045545` `Adjacent sequences: A137820 A137821 A137822 this_sequence A137824 A137825 A137826`
	KEYWORD	`nonn,easy`
	AUTHOR	`M. F. Hasler (MHasler(AT)univ-ag.fr), May 15 2008`

page 1

Search completed in 0.002 seconds

Last modified December 1 13:27 EST 2009. Contains 167806 sequences.

AT&T Labs Research