A352709 -id:A352709 - cp's OEIS frontend

A352781 Partial sums of A109812.

1, 3, 7, 10, 18, 23, 33, 49, 55, 64, 82, 94, 111, 125, 157, 164, 188, 221, 241, 252, 288, 307, 347, 368, 402, 415, 463, 478, 542, 564, 605, 671, 696, 734, 799, 825, 862, 934, 957, 1053, 1080, 1148, 1183, 1211, 1278, 1322, 1402, 1441, 1529, 1657, 1686, 1784, 1913, 1943, 2040, 2170, 2215, 2297, 2429, 2471

Offset: 1

Omar E. Pol, Apr 02 2022

Consider Thomas Scheuerle's graph of A109812 for n = 0..10^7. It seems that the graph looks like a mixture of a graph of the sequence of first differences of a cellular automaton with recurrences and fractal-like structure (for example, A139251) and Colin Mallows's plot of the first 10000 terms of Recamán's sequence A005132.

Thomas Scheuerle, Table of n, a(n) for n = 1..10000

Cf. A005132, A064413, A139251, A109812, A113232, A113233, A305370, A305372, A340016, A352203, A352204, A352336, A352359, A352569, A352575, A352708, A352709, A352794.

A352794 a(n) = A109812(n) - n.

Original entry on oeis.org

0, 0, 1, -1, 3, -1, 3, 8, -3, -1, 7, 0, 4, 0, 17, -9, 7, 15, 1, -9, 15, -3, 17, -3, 9, -13, 21, -13, 35, -8, 10, 34, -8, 4, 30, -10, 0, 34, -16, 56, -14, 26, -8, -16, 22, -2, 33, -9, 39, 78, -22, 46, 76, -24, 42, 74, -12, 24, 73, -18, 8, -12, 10, -12, 9, -17, 3, -12, 2, 66, -20, 4, 58, -14, 117, -45, 83, -3, 65

Offset: 1

Omar E. Pol, Apr 03 2022

Thomas Scheuerle, Table of n, a(n) for n = 1..10000

Indices of zeros gives A340016.

Cf. A109812, A113232, A113233, A305370, A305372, A352203, A352204, A352336, A352359, A352569, A352708, A352709, A352781.

cp's OEIS Frontend

A352781 Partial sums of A109812.

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