A371101 - OEIS

A371101

Array A read by upward antidiagonals in which the entry A(n,k) = A371092(A371100(n, k)), n,k >= 1.

1, 1, 3, 1, 2, 3, 1, 3, 1, 6, 1, 2, 3, 5, 2, 1, 3, 1, 6, 4, 9, 1, 2, 3, 5, 2, 8, 6, 1, 3, 1, 6, 4, 9, 2, 12, 1, 2, 3, 5, 2, 8, 6, 11, 1, 1, 3, 1, 6, 4, 9, 2, 12, 7, 15, 1, 2, 3, 5, 2, 8, 6, 11, 1, 14, 9, 1, 3, 1, 6, 4, 9, 2, 12, 7, 15, 4, 18, 1, 2, 3, 5, 2, 8, 6, 11, 1, 14, 9, 17, 5, 1, 3, 1, 6, 4, 9, 2, 12, 7, 15, 4, 18, 10, 21

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OFFSET

1,3

COMMENTS

A(n, k) gives the column index of A371100(n, k) in array A257852.

LINKS

Table of n, a(n) for n=1..105.

FORMULA

A(n, k) = A371092(A371100(n, k)).

A(n, k) = A(n+2, k).

EXAMPLE

The array begins:

n\k| 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18

---+--------------------------------------------------------------------

1 | 1, 3, 3, 6, 2, 9, 6, 12, 1, 15, 9, 18, 5, 21, 12, 24, 4, 27, ...

2 | 1, 2, 1, 5, 4, 8, 2, 11, 7, 14, 4, 17, 10, 20, 1, 23, 13, 26, ...

3 | 1, 3, 3, 6, 2, 9, 6, 12, 1, 15, 9, 18, 5, 21, 12, 24, 4, 27, ...

4 | 1, 2, 1, 5, 4, 8, 2, 11, 7, 14, 4, 17, 10, 20, 1, 23, 13, 26, ...

5 | 1, 3, 3, 6, 2, 9, 6, 12, 1, 15, 9, 18, 5, 21, 12, 24, 4, 27, ...

6 | 1, 2, 1, 5, 4, 8, 2, 11, 7, 14, 4, 17, 10, 20, 1, 23, 13, 26, ...

7 | 1, 3, 3, 6, 2, 9, 6, 12, 1, 15, 9, 18, 5, 21, 12, 24, 4, 27, ...

8 | 1, 2, 1, 5, 4, 8, 2, 11, 7, 14, 4, 17, 10, 20, 1, 23, 13, 26, ...

...

PROG

(PARI)

up_to = 105;

A000265(n) = (n>>valuation(n, 2));

A371092(n) = floor((A000265(1+(3*n))+5)/6);

A371100sq(n, k) = 4^n*(6*k - 3 - 2*(-1)^n) + (4^n - 1)/3;

A371101sq(n, k) = A371092(A371100sq(n, k));

A371101list(up_to) = { my(v = vector(up_to), i=0); for(a=1, oo, for(col=1, a, i++; if(i > up_to, return(v)); v[i] = A371101sq((a-(col-1)), col))); (v); };

v371101 = A371101list(up_to);

A371101(n) = v371101[n];

CROSSREFS

Cf. A257852, A371092, A371100.

Sequence in context: A080511 A132399 A287616 * A081485 A307693 A100337

Adjacent sequences: A371098 A371099 A371100 * A371102 A371103 A371104

KEYWORD

nonn,tabl

AUTHOR

Antti Karttunen, Apr 19 2024

STATUS

approved