OFFSET
1,3
EXAMPLE
Array begins:
n\k| 1 2 3 ...
---+--------------------------------------------------------------------
1 | 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17,
2 | 1, 3, 3, 6, 2, 9, 6, 12, 1, 15, 9, 18, 5, 21, 12, 24, 4,
3 | 1, 3, 1, 9, 3, 1, 8, 18, 1, 12, 7, 27, 2, 8, 17, 36, 5,
4 | 1, 1, 1, 1, 3, 1, 12, 27, 1, 17, 2, 21, 3, 12, 4, 54, 2,
5 | 1, 1, 1, 1, 1, 1, 18, 21, 1, 4, 2, 16, 3, 18, 5, 81, 3,
6 | 1, 1, 1, 1, 1, 1, 27, 16, 1, 5, 3, 23, 1, 27, 2, 16, 3,
7 | 1, 1, 1, 1, 1, 1, 21, 23, 1, 2, 3, 18, 1, 21, 3, 23, 1,
8 | 1, 1, 1, 1, 1, 1, 16, 18, 1, 3, 1, 26, 1, 16, 3, 18, 1,
9 | 1, 1, 1, 1, 1, 1, 23, 26, 1, 3, 1, 39, 1, 23, 1, 26, 1,
10 | 1, 1, 1, 1, 1, 1, 18, 39, 1, 1, 1, 30, 1, 18, 1, 39, 1,
11 | 1, 1, 1, 1, 1, 1, 26, 30, 1, 1, 1, 44, 1, 26, 1, 30, 1,
12 | 1, 1, 1, 1, 1, 1, 39, 44, 1, 1, 1, 66, 1, 39, 1, 44, 1,
13 | 1, 1, 1, 1, 1, 1, 30, 66, 1, 1, 1, 99, 1, 30, 1, 66, 1,
14 | 1, 1, 1, 1, 1, 1, 44, 99, 1, 1, 1, 75, 1, 44, 1, 99, 1,
15 | 1, 1, 1, 1, 1, 1, 66, 75, 1, 1, 1, 28, 1, 66, 1, 75, 1,
16 | 1, 1, 1, 1, 1, 1, 99, 28, 1, 1, 1, 42, 1, 99, 1, 28, 1,
17 | 1, 1, 1, 1, 1, 1, 75, 42, 1, 1, 1, 63, 1, 75, 1, 42, 1,
18 | 1, 1, 1, 1, 1, 1, 28, 63, 1, 1, 1, 48, 1, 28, 1, 63, 1,
19 | 1, 1, 1, 1, 1, 1, 42, 48, 1, 1, 1, 71, 1, 42, 1, 48, 1,
20 | 1, 1, 1, 1, 1, 1, 63, 71, 1, 1, 1, 54, 1, 63, 1, 71, 1,
21 | 1, 1, 1, 1, 1, 1, 48, 54, 1, 1, 1, 80, 1, 48, 1, 54, 1,
PROG
(PARI)
up_to = 105;
A000265(n) = (n>>valuation(n, 2));
A371094(n) = { my(m=1+3*n, e=valuation(m, 2)); ((m*(2^e)) + (((4^e)-1)/3)); };
A371102sq(n, k) = if(1==n, 4*k-1, A371094(A371102sq(n-1, k)));
A371103sq(n, k) = A371092(A371102sq(n, k));
A371103list(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] = A371103sq((a-(col-1)), col))); (v); };
v371103 = A371103list(up_to);
A371103(n) = v371103[n];
CROSSREFS
KEYWORD
AUTHOR
Antti Karttunen, Apr 21 2024
STATUS
approved