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A293221 a(n) = Product_{d|n, d<n} A019565(A289813(d)); a product obtained from the 1-digits present in ternary expansions of proper divisors of n. 11
1, 2, 2, 2, 2, 6, 2, 12, 6, 6, 2, 36, 2, 4, 18, 12, 2, 30, 2, 360, 12, 10, 2, 540, 6, 60, 30, 360, 2, 900, 2, 120, 30, 10, 12, 2700, 2, 4, 180, 360, 2, 540, 2, 360, 450, 6, 2, 5400, 4, 120, 30, 360, 2, 210, 30, 5040, 12, 14, 2, 1701000, 2, 84, 180, 2520, 180, 1260, 2, 840, 18, 12600, 2, 94500, 2, 140, 180, 840, 20, 18900, 2, 756000, 210, 210, 2, 23814000, 30 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Antti Karttunen, Table of n, a(n) for n = 1..6561

FORMULA

a(n) = Product_{d|n, d<n} A019565(A289813(d)).

For all n >= 0, a(3^n) = A002110(n).

PROG

(PARI)

A019565(n) = {my(j, v); factorback(Mat(vector(if(n, #n=vecextract(binary(n), "-1..1")), j, [prime(j), n[j]])~))}; \\ This function from M. F. Hasler

A289813(n) = { my (d=digits(n, 3)); fromdigits(vector(#d, i, if (d[i]==1, 1, 0)), 2); } \\ From _Remy Sigrist_

A293221(n) = { my(m=1); fordiv(n, d, if(d < n, m *= A019565(A289813(d)))); m; };

CROSSREFS

Cf. A019565, A289813, A293214, A293222, A293223 (restricted growth sequence transform), A293226.

Cf. also A290091.

Sequence in context: A151948 A080400 A119462 * A096625 A263455 A283677

Adjacent sequences:  A293218 A293219 A293220 * A293222 A293223 A293224

KEYWORD

nonn,base

AUTHOR

Antti Karttunen, Oct 03 2017

STATUS

approved

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Last modified June 19 11:31 EDT 2019. Contains 324219 sequences. (Running on oeis4.)