A328983 -id:A328983 - cp's OEIS frontend

A328196 First differences of A328190.

2, 4, -2, 6, -3, 9, -7, 12, -9, 14, -12, 16, -13, 19, -17, 21, -18, 24, -22, 26, -23, 29, -27, 32, -29, 34, -32, 36, -33, 39, -37, 42, -39, 44, -42, 46, -43, 49, -47, 52, -49, 54, -52, 56, -53, 59, -57, 61, -58, 64, -62, 66, -63, 69, -67, 72, -69, 74, -72, 76

Offset: 1

Peter Kagey, Oct 07 2019

sign

Conjecture from N. J. A. Sloane, Nov 05 2019: (Start)
a(4t) = 5t+1(+1 if binary expansion of t ends in odd number of 0's) for t >= 1,
a(4t+1) = -(5t-2(+1 if binary expansion of t ends in odd number of 0's)) for t >= 1,
a(4t+2) = 5t+4 for t >= 0,
a(4t+3) = -(5t+2) for t >= 0.
These formulas explain all the known terms.
a(2t) is closely related to A298468. The expressions for a(4t) and a(4t+1) can also be written in terms of A328979.
The conjecture would establish that the terms lie on two straight lines, of slopes +-5/4.
There is a similar conjecture for A328190. (End)

Peter Kagey, Table of n, a(n) for n = 1..10000

Cf. A298468, A328190, A328979.
The negative terms are (conjecturally) listed in A329982 (see also A328983).
See A328984 and A328985 for simpler sequences which almost have the properties of A329190 and A328196. - N. J. A. Sloane, Nov 07 2019

A328982 Sorted list of the numbers of the form 5m+2 (m>=0) together with numbers of the form 5m-2+eps (m>=1), where eps = 1 if the binary expansion of m ends in an odd number of 0's and is otherwise 0.

Original entry on oeis.org

2, 3, 7, 9, 12, 13, 17, 18, 22, 23, 27, 29, 32, 33, 37, 39, 42, 43, 47, 49, 52, 53, 57, 58, 62, 63, 67, 69, 72, 73, 77, 78, 82, 83, 87, 89, 92, 93, 97, 98, 102, 103, 107, 109, 112, 113, 117, 119, 122, 123, 127, 129, 132, 133, 137, 138, 142, 143, 147, 149

Offset: 1

N. J. A. Sloane, Nov 06 2019

nonn

Conjecture: these are the numbers k such that -k is a term of A328196.

Cf. A328190, A328196, A328983.

cp's OEIS Frontend

A328196 First differences of A328190.

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