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A262889 a(n) = total number of nodes in the finite subtrees branching "right" (to the "larger side") from node n in the infinite trunk (A259934) of the tree generated by edge-relation A049820(child) = parent. 5
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 3, 0, 1, 13, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 3, 0, 0, 5, 0, 4, 0, 1, 7, 0, 0, 7, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 5, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 3, 0, 22, 1, 0, 1, 2, 0, 6, 0, 0, 0, 0, 0, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,14

LINKS

Antti Karttunen, Table of n, a(n) for n = 0..8107

FORMULA

a(n) = sum_{k = A259934(n+1) .. A262686(A259934(n))} [A049820(k) = A259934(n)] * A262697(k).

(Here [ ] stands for Iverson bracket, giving as its result 1 only when A049820(k) = A259934(n), and 0 otherwise).

Other identities. For all n >= 0:

A262890(n) = A262888(n) + a(n).

PROG

(Scheme)

(define (A262889 n) (let ((t (A259934 n)) (u (A259934 (+ 1 n)))) (let loop ((s 0) (k (A262686 t))) (cond ((<= k u) s) ((= t (A049820 k)) (loop (+ s (A262697 k)) (- k 1))) (else (loop s (- k 1)))))))

CROSSREFS

Cf. A000005, A049820, A082284, A259934, A262686, A262697, A262888, A262890, A262894.

Cf. also A255329.

Sequence in context: A143655 A173541 A076849 * A083059 A173440 A284687

Adjacent sequences:  A262886 A262887 A262888 * A262890 A262891 A262892

KEYWORD

nonn

AUTHOR

Antti Karttunen, Oct 04 2015

STATUS

approved

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Last modified October 22 23:18 EDT 2018. Contains 316518 sequences. (Running on oeis4.)