A180051 Triangle T(n,k) read by rows. Matrix inverse of A180050.

1, -1, 1, 0, -1, 1, -1, -1, 3, 1, -1, -1, 6, 3, 1, -2, -1, 15, 7, 3, 1, -1, -1, 31, 15, 7, 3, 1, -2, -1, 72, 34, 16, 7, 3, 1, -2, -1, 157, 73, 34, 16, 7, 3, 1, -2, -1, 347, 161, 75, 35, 16, 7, 3, 1, -1, -1, 751, 349, 162, 75, 35, 16, 7, 3, 1, -2, -1, 1645, 763, 354, 164, 76, 35, 16, 7

Offset

1,9

Comments

At n>3, k=1 T(n,k)=A002321(n-1). It could perhaps be said that the Mertens function is an invariant under the recurrence in A180050 and matrix inversion.

Links

Table of n, a(n) for n=1..76.

Example

Table begins:
1,
-1,1,
0,-1,1,
-1,-1,3,1,
-1,-1,6,3,1,
-2,-1,15,7,3,1,
-1,-1,31,15,7,3,1,
-2,-1,72,34,16,7,3,1,
-2,-1,157,73,34,16,7,3,1,
-2,-1,347,161,75,35,16,7,3,1,
-1,-1,751,349,162,75,35,16,7,3,1,
-2,-1,1645,763,354,164,76,35,16,7,3,1,
-2,-1,3553,1646,763,354,164,76,35,16,7,3,1,
-3,-1,7720,3576,1657,768,356,165,76,35,16,7,3,1,

Crossrefs

Cf. A002321, A180050.

Sequence in context: A367618 A016566 A096744 * A160752 A186024 A080002

Adjacent sequences: A180048 A180049 A180050 * A180052 A180053 A180054

Keyword

sign,tabl

Author

Mats Granvik, Aug 08 2010

Status

approved