A032863 -id:A032863 - cp's OEIS frontend

A073633 Numbers k that divide floor((3/2)^k) = A002379(k).

1, 2, 3, 16, 43, 50, 56, 193, 283, 961, 970, 4958, 9439, 10493, 11375, 18552, 57051, 81602, 617287, 917186, 1525995, 5107085, 9162821, 22008620

Offset: 1

Benoit Cloitre, Aug 29 2002

No more terms through 10^6. - Ryan Propper, May 05 2006

The first 8 terms are all in A032863, all known subsequent terms, i.e., at least up to a(21), are not in A032863. - M. F. Hasler, Oct 05 2018

Cf. A002379, A073632, A073634.

t = 1; Do[t = 3t/2; If[ Mod[ Floor[t], n] == 0, Print[n]], {n, 500000}] (* Robert G. Wilson v, Apr 06 2006 *)

a=1;for(n=1,10^6,a*=3;b=shift(a,-n);if(b%n==0,print1(n,","))) \\ Robert Gerbicz, Aug 23 2006

P=1;for(n=1,oo,(P*=3)>>n%n||print1(n",")) \\ M. F. Hasler, Oct 05 2018

from gmpy2 import mpz, t_div_2exp, t_mod
A073633_list, m = [], mpz(1)
for n in range(1,10**9):
    m *= 3
    if t_mod(t_div_2exp(m,n),n) == 0:
        A073633_list.append(n) # Chai Wah Wu, Mar 30 2020

More terms from Michel ten Voorde Jun 20 2003
2 more terms from Ryan Propper, May 05 2006
More terms from Robert Gerbicz, Aug 23 2006
a(22)-a(24) from Chai Wah Wu, Mar 30 2020

A306110 Numbers with digits in {0,...,7} such that every other digit is strictly less than its neighbors.

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 6, 7, 10, 20, 21, 30, 31, 32, 40, 41, 42, 43, 50, 51, 52, 53, 54, 60, 61, 62, 63, 64, 65, 70, 71, 72, 73, 74, 75, 76, 101, 102, 103, 104, 105, 106, 107, 201, 202, 203, 204, 205, 206, 207, 212, 213, 214, 215, 216, 217, 301, 302, 303, 304, 305, 306, 307, 312, 313, 314, 315, 316, 317, 323, 324, 325

Offset: 1

M. F. Hasler, Oct 05 2018

Terms of A032863 written in base 8.

Cf. A306105 .. A306111 and A297147: analog for bases 3..9 and 10.

Cf. A032863 and A032858 .. A032865 for other bases 3..10.

A(Nmax=100,K=7,A=[0..K],i=vector(2*K,i,max(1,i-K+1)),c(T,v)=apply(t->t+T,v))={for(n=0,oo, for(k=10,K*11,if(k%10

a(n) = A007094(A032863(n)).

A306109 Numbers with digits in {0,...,6} such that every other digit is strictly less than its neighbors.

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 6, 10, 20, 21, 30, 31, 32, 40, 41, 42, 43, 50, 51, 52, 53, 54, 60, 61, 62, 63, 64, 65, 101, 102, 103, 104, 105, 106, 201, 202, 203, 204, 205, 206, 212, 213, 214, 215, 216, 301, 302, 303, 304, 305, 306, 312, 313, 314, 315, 316, 323, 324, 325, 326, 401, 402, 403, 404, 405, 406, 412, 413, 414, 415

Offset: 1

M. F. Hasler, Oct 05 2018

Terms of A032862 written in base 7.

Cf. A306105 .. A306111 and A297147: analog for bases 3..9 and 10.

Cf. A032863 and A032858 .. A032865 for other bases 3..10.

A(Nmax=100, K=6, A=[0..K], i=vector(2*K, i, max(1, i-K+1)), c(T, v)=apply(t->t+T, v))={for(n=0, oo, for(k=10, K*11, if(k%10

a(n) = A007093(A032862(n)).

cp's OEIS Frontend

A073633 Numbers k that divide floor((3/2)^k) = A002379(k).

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A306110 Numbers with digits in {0,...,7} such that every other digit is strictly less than its neighbors.

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A306109 Numbers with digits in {0,...,6} such that every other digit is strictly less than its neighbors.

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