A244218 - OEIS

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A244218

The ending points of runs of consecutive terms with the same parity in A014418 (n represented in Greedy Catalan Base).

0, 1, 2, 3, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15, 16, 17, 19, 20, 21, 22, 24, 25, 26, 27, 28, 29, 30, 31, 33, 34, 35, 36, 38, 39, 40, 41, 42, 43, 44, 45, 47, 48, 49, 50, 52, 53, 54, 55, 56, 57, 58, 59, 61, 62, 63, 64, 66, 67, 68, 69, 70, 71, 72, 73, 75, 76, 77, 78, 80, 81

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,3

COMMENTS

The ending points of runs in A244220 and A244221.

Positions where A014418(n+1) <> A014418(n) modulo 2. (Same is true for A244161).

LINKS

Antti Karttunen, Table of n, a(n) for n = 0..4120

FORMULA

a(0) = 0, a(n) = A244226(n) + A244218(n-1).

PROG

(Scheme, with Antti Karttunen's IntSeq-library, two alternative definitions)

(definec (A244218 n) (if (zero? n) 0 (+ (A244226 n) (A244218 (- n 1)))))

(define A244218 (NONZERO-POS 0 0 (lambda (n) (modulo (- (A014418 (+ n 1)) (A014418 n)) 2))))

CROSSREFS

Cf. A014418, A244161, A244220, A244221, A244219 (gives the corresponding starting points).

Partial sums of A244226.

Sequence in context: A171519 A072099 A046841 * A164514 A000037 A028761

Adjacent sequences: A244215 A244216 A244217 * A244219 A244220 A244221

KEYWORD

nonn

AUTHOR

Antti Karttunen, Jun 23 2014

STATUS

approved

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