A334346 -id:A334346

Search: a334346 -id:a334346

Displaying 1-2 of 2 results found.

page 1

A334371

Starts of runs of 3 consecutive Moran numbers (A001101).

+10
3

3031, 13116, 46824, 201614, 456325, 1310412, 1499434, 1825225, 2217620, 2318423, 2522540, 2784634, 3132380, 3276024, 3931226, 4013113, 4555476, 5017340, 5211380, 6309602, 6338910, 6526835, 7197154, 8678920, 9108023, 9258002, 10256420, 10533620, 10614266, 10810824

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

LINKS

Amiram Eldar, Table of n, a(n) for n = 1..10000

EXAMPLE

3031 is a term since 3031/(3+0+3+1) = 433, 3032/(3+0+3+2) = 379 and 3033/(3+0+3+3) = 337 are all primes.

MATHEMATICA

moranQ[n_] := PrimeQ[n / Plus @@ IntegerDigits[n]]; m = moranQ /@ Range[3]; seq = {}; Do[If[And @@ m, AppendTo[seq, k - 3]]; m = Join[Rest[m], {moranQ[k]}], {k, 4, 10^6}]; seq

CROSSREFS

Subsequence of A001101, A085775 and A154701.

Cf. A235397, A334346.

KEYWORD

nonn,base

AUTHOR

Amiram Eldar, Apr 25 2020

STATUS

approved

A338515

Starts of runs of 3 consecutive numbers that are divisible by the total binary weight of their divisors (A093653).

+10
2

1, 348515, 8612344, 29638764, 30625110, 32039808, 32130600, 32481682, 43664313, 55318282, 55503719, 59671714, 69254000, 73152296, 93470904, 100366594, 103640097, 105026790, 109038462, 109212287, 122519464, 126667271, 147208982, 162007166, 169237545, 173392238

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

LINKS

Amiram Eldar, Table of n, a(n) for n = 1..5000

EXAMPLE

1 is a term since 1, 2 and 3 are terms of A093705.

MATHEMATICA

divQ[n_] := Divisible[n, DivisorSum[n, DigitCount[#, 2, 1] &]]; div = divQ /@ Range[3]; Reap[Do[If[And @@ div, Sow[k - 3]]; div = Join[Rest[div], {divQ[k]}], {k, 4, 10^7}]][[2, 1]]

CROSSREFS

Subsequence of A338514.

Cf. A000120, A093653, A093705.

Similar sequences: A154701, A330932, A334346, A338453.