A341062 Sequence whose partial sums give A000005.

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

Offset

1,6

Comments

Essentially a duplicate of A051950.

Convolved with A000041 gives A138137.

Convolved with A000027 gives the nonzero terms of A006218.

Convolved with A000070 gives the nonzero terms of A006128.

Convolved with A014153 gives the nonzero terms of A284870.

Convolved with A036469 gives the nonzero terms of A305082.

Convolved with the nonzero terms of A006218 gives A055507.

Convolved with the nonzero terms of A000217 gives the nonzero terms of A078567.

Links

Table of n, a(n) for n=1..90.

Formula

a(n) = A051950(n) for n > 1.

Mathematica

Join[{1}, Differences[Table[DivisorSigma[0, n], {n, 1, 90}]]] (* Amiram Eldar, Feb 06 2021 *)

Crossrefs

1 together with A051950.

Cf. A000005 (partial sums).

Cf. A000027, A000041, A000070, A000217, A006128, A006218, A014153, A036469, A055507, A078567, A138137, A284870, A305082, A340793.

Sequence in context: A071338 A078826 A051950 * A172353 A282011 A245514

Adjacent sequences: A341059 A341060 A341061 * A341063 A341064 A341065

Keyword

sign,easy

Author

Omar E. Pol, Feb 04 2021

Status

approved