A358467 -id:A358467 - cp's OEIS frontend

A358466 Number of 1's that appeared by n-th step when constructing A030717.

1, 2, 2, 3, 3, 4, 4, 5, 6, 7, 8, 8, 8, 10, 14, 17, 23, 30, 38, 49, 62, 77, 94, 110, 129, 149, 172, 195, 218, 241, 266, 293, 323, 356, 389, 424, 461, 500, 545, 593, 641, 688, 737, 787, 839, 896, 957, 1021, 1085, 1152, 1219, 1291, 1368, 1447, 1527, 1611, 1697, 1788, 1879, 1974, 2074, 2181, 2290, 2401, 2519

Offset: 1

Seiichi Manyama, Nov 18 2022

nonn

Michael De Vlieger, Table of n, a(n) for n = 1..1024

Partial sums of A358467.

Cf. A030717, A030723, A358468.

nn = 94; c[] = 0; k = a[1] = c[1] = 1; Accumulate@ Prepend[Reap[Do[w = Union@ Array[a, k]; t = 0; Do[Set[a[j + k], c[w[[j]]]]; If[a[j + k] == 1, t++], {j, Length[w]}]; Do[c[a[j + k]]++, {j, Length[w]}]; k += Length[w]; Sow[t], {n, nn}]][[-1, -1]], 1] (* _Michael De Vlieger, Nov 18 2022 *)

def A(k, n)
  a = []
  ary = [1]
  n.times{
    a << ary.count(k)
    ary += ary.uniq.sort.map{|i| ary.count(i)}
  }
  a
end
p A(1, 100)

A358469 Number of 2's that appeared in the n-th step when constructing A030717.

Original entry on oeis.org

0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 3, 4, 3, 1, 2, 3, 6, 5, 5, 3, 5, 7, 8, 8, 8, 7, 7, 8, 7, 9, 8, 7, 9, 12, 13, 14, 14, 15, 16, 17, 16, 18, 20, 22, 21, 22, 23, 26, 26, 27, 28, 31, 31, 32, 32, 33, 34, 34, 35, 36, 36, 36, 37, 38, 37, 38, 38, 38, 39, 41, 42, 44, 45, 47, 47, 48, 49, 49, 49, 51, 53, 56, 56, 58, 60, 61, 62, 65

Offset: 1

Seiichi Manyama, Nov 18 2022

nonn

Also first differences of A358468.

Michael De Vlieger, Table of n, a(n) for n = 1..1024

Cf. A030717, A358467, A358468.

nn = 94; c[] = 0; k = a[1] = c[1] = 1; Prepend[Reap[Do[w = Union@ Array[a, k]; t = 0; Do[Set[a[j + k], c[w[[j]]]]; If[a[j + k] == 2, t++], {j, Length[w]}]; Do[c[a[j + k]]++, {j, Length[w]}]; k += Length[w]; Sow[t], {n, nn}]][[-1, -1]], 0] (* _Michael De Vlieger, Nov 18 2022 *)

A358476 Number of 3's that appeared in the n-th step when constructing A030717.

Original entry on oeis.org

0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 3, 4, 3, 2, 3, 2, 2, 2, 2, 4, 4, 3, 3, 3, 3, 5, 5, 3, 3, 3, 3, 2, 3, 4, 6, 6, 7, 8, 8, 7, 9, 10, 12, 13, 13, 12, 14, 15, 15, 16, 16, 16, 17, 17, 18, 19, 19, 18, 19, 19, 19, 20, 21, 21, 21, 20, 20, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 22, 23, 23, 24, 25, 25, 25, 25, 26, 26, 26, 27, 27, 27, 27

Offset: 1

Seiichi Manyama, Nov 18 2022

nonn

Also first differences of A358470.

Cf. A358467, A358469, A358477, A358478, A358479, A358480.

Cf. A030717, A030725.

A358477 Number of 4's that appeared in the n-th step when constructing A030717.

Original entry on oeis.org

0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 3, 5, 5, 4, 3, 2, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 10, 10, 10, 10, 10, 10, 10

Offset: 1

Seiichi Manyama, Nov 18 2022

nonn

Also first differences of A358472.

Cf. A358467, A358469, A358476, A358478, A358479, A358480.

Cf. A030717, A030726.

A358478 Number of 5's that appeared in the n-th step when constructing A030717.

Original entry on oeis.org

0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 3, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 3, 2, 1, 1, 1, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4

Offset: 1

Seiichi Manyama, Nov 18 2022

nonn

Also first differences of A358473.

Cf. A358467, A358469, A358476, A358477, A358479, A358480.

Cf. A030717, A358423.

A358479 Number of 6's that appeared in the n-th step when constructing A030717.

Original entry on oeis.org

0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3

Offset: 1

Seiichi Manyama, Nov 18 2022

nonn

Also first differences of A358474.

Cf. A358467, A358469, A358476, A358477, A358478, A358480.

Cf. A030717, A358424.

A358480 Number of 7's that appeared in the n-th step when constructing A030717.

Original entry on oeis.org

0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2

Offset: 1

Seiichi Manyama, Nov 18 2022

nonn

Also first differences of A358475.

Cf. A358467, A358469, A358476, A358477, A358478, A358479.

Cf. A030717, A358425.

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A358466 Number of 1's that appeared by n-th step when constructing A030717.

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A358469 Number of 2's that appeared in the n-th step when constructing A030717.

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A358476 Number of 3's that appeared in the n-th step when constructing A030717.

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A358477 Number of 4's that appeared in the n-th step when constructing A030717.

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A358478 Number of 5's that appeared in the n-th step when constructing A030717.

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A358479 Number of 6's that appeared in the n-th step when constructing A030717.

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A358480 Number of 7's that appeared in the n-th step when constructing A030717.

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