A071532 -id:A071532 - cp's OEIS frontend

A071623 Least k such that n = A071532(k).

1, 4, 5, 6, 7, 8, 15, 18, 21, 22, 35, 64, 65, 130, 131, 160, 161, 170, 175, 186, 187, 190, 391, 392, 393, 508, 511, 514, 515, 516, 519, 530, 535, 536, 539, 540, 543, 552, 553, 566, 577, 584, 587, 588, 593, 594, 627, 630, 631, 636

Offset: 1

Benoit Cloitre, Jun 22 2002

For some n, a(n+1)-a(n)=1.

Cf. A071532.

for(n=1,50,s=1; while(abs(n+sum(i=1,s,sign((-1)^floor((3/2)^i))))>0,s++); print1(s,","))

A073635 Duplicate of A071532.

Original entry on oeis.org

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

Offset: 1

dead

A071622 a(n) = (-1)*Sum_{k=1..n} (-1)^floor((4/3)^k).

Original entry on oeis.org

1, 2, 1, 2, 1, 2, 3, 4, 5, 6, 7, 8, 7, 6, 5, 6, 7, 8, 7, 8, 7, 6, 7, 6, 5, 6, 5, 6, 7, 8, 7, 6, 7, 8, 7, 6, 5, 6, 7, 8, 9, 10, 11, 12, 11, 10, 9, 10, 11, 10, 9, 8, 7, 8, 7, 8, 7, 8, 9, 10, 9, 8, 9, 8, 9, 8, 7, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 14, 15, 14, 13, 12, 13, 12, 13, 12, 11, 10, 9, 10, 9

Offset: 1

Benoit Cloitre, Jun 22 2002

Conjecture: for n>2300, a(n) > log(n)^2.

Cf. A071532.

Table[(-1)Sum[(-1)^Floor[(4/3)^k],{k,n}],{n,100}] (* Harvey P. Dale, Jul 27 2025 *)

for(n=1,100,print1(-sum(i=1,n,sign((-1)^floor((4/3)^i))),","))

cp's OEIS Frontend

A071623 Least k such that n = A071532(k).

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A073635 Duplicate of A071532.

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A071622 a(n) = (-1)*Sum_{k=1..n} (-1)^floor((4/3)^k).

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Programs

Mathematica

PARI