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A159936 Triangle read by rows, A051731 * A054533 * A000012 1
1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 3, 4, 1, 1, 2, 2, 3, 2, 1, 1, 2, 3, 4, 5, 6, 1, 1, 2, 2, 4, 4, 4, 4, 1, 1, 2, 3, 3, 3, 6, 6, 6, 1, 1, 2, 2, 4, 4, 5, 4, 5, 4, 1, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 1, 1, 2, 2, 3, 2, 4, 4, 6, 6, 4, 4 (list; table; graph; refs; listen; history; internal format)
OFFSET

1,6

COMMENTS

Row sums = A057661: (1, 2, 4, 6, 11, 11, 22,...). Right border = A000010, phi(n).

FORMULA

Triangle read by rows, A051731 * A054533 * A000012. A051731 = the inverse Mobius transform. A054533 = the lower left half of the Ramanujan sum table. The operation (* A000012) takes partial sums of (A051731 * A054533) starting from the right.

EXAMPLE

First few rows of the triangle =

1;

1, 1;

1, 1, 2;

1, 1, 2, 2;

1, 1, 2, 3, 4;

1, 1, 2, 2, 3, 2;

1, 1, 2, 3, 4, 5, 6;

1, 1, 2, 2, 4, 4, 4, 4;

1, 1, 2, 3, 3, 3, 6, 6, 6;

1, 1, 2, 2, 4, 4, 5, 4, 5, 4;

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

1, 1, 2, 2, 3, 2, 4, 4, 6, 6, 4, 4;

1, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12;

1, 1, 2, 2, 4, 4, 6, 6, 7, 6, 7, 6, 7, 6;

1, 1, 2, 3, 3, 3, 5, 4, 3, 5, 9, 8, 10, 9, 8;

1, 1, 2, 2, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8;

...

CROSSREFS

Cf. A051731, A054533, A057661

Sequence in context: A204026 A110537 A144434 * A144464 A138015 A103444

Adjacent sequences:  A159933 A159934 A159935 * A159937 A159938 A159939

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson (qntmpkt(AT)yahoo.com), Apr 26 2009

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Last modified February 13 10:53 EST 2012. Contains 205459 sequences.