

A180051


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


1



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
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OFFSET

1,9


COMMENTS

At n>3, k=1 T(n,k)=A002321(n1). 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: A135494 A016566 A096744 * A160752 A186024 A080002
Adjacent sequences: A180048 A180049 A180050 * A180052 A180053 A180054


KEYWORD

sign,tabl


AUTHOR

Mats Granvik, Aug 08 2010


STATUS

approved



