A062547 -id:A062547 - cp's OEIS frontend

A062548 Even integers that are not partial sums of A062547.

2, 14, 38, 50, 110, 122, 146, 158, 326, 338, 362, 374, 434, 446, 470, 482, 974, 986, 1010, 1022, 1082, 1094, 1118, 1130, 1298, 1310, 1334, 1346, 1406, 1418, 1442, 1454, 2918, 2930, 2954, 2966, 3026, 3038, 3062, 3074, 3242, 3254, 3278, 3290, 3350, 3362

Offset: 0

Wouter Meeussen, Jun 26 2001

nonn

Equals 2*A055246.

Cf. A055246, A062547.

2+12*Table[FromDigits[IntegerDigits[k, 2], 3], {k, 0, 64}]

A174132 2*3^(n-1)-(-1)^n.

Original entry on oeis.org

3, 5, 19, 53, 163, 485, 1459, 4373, 13123, 39365, 118099, 354293, 1062883, 3188645, 9565939, 28697813, 86093443, 258280325, 774840979, 2324522933, 6973568803, 20920706405, 62762119219, 188286357653, 564859072963

Offset: 1

Vincenzo Librandi, Jan 27 2011

Vincenzo Librandi, Table of n, a(n) for n = 1..200
Index entries for linear recurrences with constant coefficients, signature (2,3).

Cf. A154992.

[2*3^(n-1)-(-1)^n: n in [1..30]]; // Vincenzo Librandi, Aug 21 2014

Table[(2 3^(n-1) - (-1)^n), {n, 30}] (* or *) CoefficientList[Series[(3 - x)/((1 + x)(1 - 3 x)), {x, 0, 30}], x] (* Vincenzo Librandi, Aug 21 2014 *)

From Bruno Berselli, Jan 28 2011 - Jan 30 2011: (Start)
G.f.: x*(3-x)/((1+x)*(1-3*x)).
a(n) = A062547(A042963(n-1)).
a(n) = 2*sum[a(i), i=1..n-1]-2*(-1)^n+1 for n>1. (End)

A172095 Integers k such that k-1,k,k+1 have few distinct primes: k=p^r, p odd prime, and (k^2-1)/8 divisible by at most two distinct prime factors.

Original entry on oeis.org

3, 5, 7, 9, 11, 13, 17, 19, 27, 37, 53, 107, 163, 243, 2187, 2917, 4373, 8747, 1594323, 86093443

Offset: 1

Dino Lorenzini (lorenzin(AT)uga.edu), Jan 25 2010

Note the terms 3^1=3, 3^2=9, 3^3=27, 3^5=243, 3^7=2187, and 3^13=1594323. The other listed terms are prime.

Next term > 2^2000. - Max Alekseyev, Feb 16 2011

Cf. A075081, A062547, A111974, A005105

Edited and missing terms 3, 5, 9, 17 added by Max Alekseyev, Feb 16 2011

cp's OEIS Frontend

A062548 Even integers that are not partial sums of A062547.

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A174132 2*3^(n-1)-(-1)^n.

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A172095 Integers k such that k-1,k,k+1 have few distinct primes: k=p^r, p odd prime, and (k^2-1)/8 divisible by at most two distinct prime factors.

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