A358469 -id:A358469 - cp's OEIS frontend

A358467 Number of 1's that appeared in the n-th step when constructing A030717.

1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 4, 3, 6, 7, 8, 11, 13, 15, 17, 16, 19, 20, 23, 23, 23, 23, 25, 27, 30, 33, 33, 35, 37, 39, 45, 48, 48, 47, 49, 50, 52, 57, 61, 64, 64, 67, 67, 72, 77, 79, 80, 84, 86, 91, 91, 95, 100, 107, 109, 111, 118, 123, 127, 134, 138, 143, 148, 153, 158, 165, 171, 176, 179, 184, 187, 192, 195

Offset: 1

Seiichi Manyama, Nov 18 2022

nonn

Also first differences of A358466.

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

Cf. A030717, A358466, A358469.

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] == 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 *)

A358468 Number of 2's that appeared by n-th step when constructing A030717.

Original entry on oeis.org

0, 0, 1, 2, 3, 3, 3, 3, 4, 6, 8, 9, 10, 11, 12, 14, 16, 19, 23, 26, 27, 29, 32, 38, 43, 48, 51, 56, 63, 71, 79, 87, 94, 101, 109, 116, 125, 133, 140, 149, 161, 174, 188, 202, 217, 233, 250, 266, 284, 304, 326, 347, 369, 392, 418, 444, 471, 499, 530, 561, 593, 625, 658, 692, 726, 761, 797, 833, 869, 906, 944

Offset: 1

Seiichi Manyama, Nov 18 2022

nonn

Michael De Vlieger, Table of n, a(n) for n = 1..1024
Michael De Vlieger, Plot of the n-th row of A030717 n = 1..512, showing 2's in red and all other terms in blue.

Partial sums of A358469.

Cf. A030717, A358466.

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] == 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 *)

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(2, 100)

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.

cp's OEIS Frontend

A358467 Number of 1's that appeared in the n-th step when constructing A030717.

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A358468 Number of 2's that appeared by 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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