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 A137823 Numbers occurring in A137822 : first differences of numbers n such that 3 | sum( Catalan(k), k=1..2n). 4
 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; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS 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 & formulas. The (very simple) sequence A137824 gives the index of A137822 at which A137823(n) occurs for the first time. LINKS PROG (PARI) A137823(n) = (n%3==2)+3^((n-1)*2\3+1)\4+1 CROSSREFS Cf. A107755, A122983, A137821-A137824. Sequence in context: A325105 A276032 A114281 * A024540 A029785 A045545 Adjacent sequences:  A137820 A137821 A137822 * A137824 A137825 A137826 KEYWORD nonn,easy AUTHOR M. F. Hasler, May 15 2008 STATUS approved

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Last modified October 19 13:01 EDT 2019. Contains 328222 sequences. (Running on oeis4.)