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 A255327 a(n) = 0 if n is in the infinite trunk of "number-of-runs beanstalk" (one of the terms of A255056), otherwise number of nodes (including leaves and the node n itself) in that finite subtree of the beanstalk. 11
 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 5, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 3, 1, 0, 1, 2, 1, 4, 1, 0, 1, 2, 1, 0, 1, 5, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 3, 1, 0, 1, 2, 1, 10, 1, 0, 1, 8, 1, 0, 1, 3, 1, 2, 1, 0, 1, 2, 1, 4, 1, 0, 1, 2, 1, 0, 1, 0, 1, 3, 1, 0, 1, 2, 1, 4, 1, 0, 1, 2, 1, 0, 1, 5, 1, 0, 1, 2, 1, 0 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,9 COMMENTS The edge-relation between nodes is given by A236840(child) = parent. a(n) = 1 + the size of transitive closure of all children emanating from the parent at n. For any n in A255056 this would be infinite, thus such n are marked with zeros. Odd numbers are leaves, as there are no such k that A236840(k) were odd, thus a(2n+1) = 1. LINKS Antti Karttunen, Table of n, a(n) for n = 0..8590 FORMULA a(2n+1) = 1, and for even numbers 2n, if A255339(n) = 1, then a(2n) = 0, otherwise, a(2n) = 1 + sum_{k = A091067(n) .. A255068(n)} a(k). PROG (Scheme, with memoization-macro definec) (definec (A255327 n) (cond ((odd? n) 1) ((= 1 (A255339 (/ n 2))) 0) (else (+ 1 (add A255327 (A091067 (/ n 2)) (A255068 (/ n 2))))))) ;; Auxiliary function add implements sum_{i=lowlim..uplim} intfun(i) (define (add intfun lowlim uplim) (let sumloop ((i lowlim) (res 0)) (cond ((> i uplim) res) (else (sumloop (1+ i) (+ res (intfun i))))))) CROSSREFS Cf. A091067, A236840, A255056, A255068, A255328, A255329, A255330, A255339. Cf. also A213727, A227643. Sequence in context: A073068 A166006 A208769 * A255391 A255396 A116683 Adjacent sequences:  A255324 A255325 A255326 * A255328 A255329 A255330 KEYWORD nonn AUTHOR Antti Karttunen, Feb 21 2015 STATUS approved

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Last modified May 22 19:19 EDT 2019. Contains 323481 sequences. (Running on oeis4.)