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A233268 The middle point of row n in binary beanstalk related sequences A179016, A218602, A218616, A233270, A233271. 6
1, 2, 3, 6, 10, 17, 30, 53, 95, 171, 310, 564, 1036, 1918, 3574, 6691, 12566, 23653, 44610, 84309, 159698, 303253, 577352, 1102121, 2109448, 4047967, 7787277, 15015347, 29011671, 56150867, 108825599, 211127246, 409886210, 796134319, 1546848744, 3006198333, 5843799964 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

a(n) points to the center of each palindromic row/subrange of A233270, and to the lower position nearest to the center, if the length of range is even.

For all n, A218602(a(n)) = a(n) + (1-A000035(A213709(n-1))).

LINKS

Table of n, a(n) for n=1..37.

FORMULA

a(n) = floor((A213710(n-1) + A218600(n)) / 2).

a(n) = A218600(n-1) + ceiling((A213709(n-1)/2)).

PROG

(MIT/GNU Scheme, two alternative versions)

(define (A233268 n) (floor->exact (/ (+ (A213710 (- n 1)) (A218600 n)) 2)))

(define (A233268 n) (+ (A218600 (- n 1)) (ceiling->exact (/ (A213709 (- n 1)) 2))))

CROSSREFS

Cf. A213709, A213710, A218600, A234018, A234019, A234020.

Cf. also A179016, A218602, A218616, A233270, A233271.

Sequence in context: A285665 A135431 A123908 * A026397 A193200 A026779

Adjacent sequences:  A233265 A233266 A233267 * A233269 A233270 A233271

KEYWORD

nonn

AUTHOR

Antti Karttunen, Dec 29 2013

STATUS

approved

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Last modified May 11 00:21 EDT 2021. Contains 343784 sequences. (Running on oeis4.)