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 A286633 Base-3 {digit+1} product of A254103: a(n) = A006047(A254103(n)). 5
 1, 2, 3, 2, 6, 4, 9, 3, 12, 2, 6, 6, 18, 8, 18, 4, 24, 12, 27, 6, 12, 3, 9, 4, 36, 4, 12, 6, 36, 2, 6, 12, 48, 6, 18, 12, 54, 16, 36, 9, 24, 24, 54, 4, 18, 8, 18, 6, 72, 24, 54, 6, 24, 12, 27, 6, 72, 36, 81, 12, 12, 6, 18, 18, 96, 36, 81, 12, 36, 6, 18, 36, 108, 8, 24, 18, 72, 24, 54, 8, 48, 12, 36, 18, 108, 2, 6, 24, 36, 4, 12, 12, 36, 3, 9, 4 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Reflecting the structure of A254103 also this sequence can be represented as a binary tree:                                      1                                      |                   ...................2...................                  3                                       2        6......../ \........4                   9......../ \........3       / \                 / \                 / \                 / \      /   \               /   \               /   \               /   \     /     \             /     \             /     \             /     \   12       2           6       6          18       8          18       4 24  12   27 6        12 3     9 4       36  4    12 6       36  2     6 12 etc. LINKS Antti Karttunen, Table of n, a(n) for n = 0..8191 FORMULA a(n) = A006047(A254103(n)). For n >= 0, a(A000079(n)) = A042950(n). PROG (Scheme) (define (A286633 n) (A006047 (A254103 n))) (Python) from sympy.ntheory.factor_ import digits from operator import mul def a006047(n):     d=digits(n, 3) return reduce(mul, [1 + d[i] for i in range(1, len(d))]) def a254103(n):     if n==0: return 0     if n%2==0: return 3*a254103(n/2) - 1     else: return floor((3*(1 + a254103((n - 1)/2)))/2) def a(n): return a006047(a254103(n)) # Indranil Ghosh, Jun 06 2017 CROSSREFS Cf. A000079, A006047, A042950, A254103, A286586, A286587, A286632. Sequence in context: A161888 A157224 A097914 * A286586 A113710 A286587 Adjacent sequences:  A286630 A286631 A286632 * A286634 A286635 A286636 KEYWORD nonn,base AUTHOR Antti Karttunen, Jun 03 2017 STATUS approved

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Last modified September 24 22:46 EDT 2021. Contains 347651 sequences. (Running on oeis4.)