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A183224
Complement of the 12-gonal numbers.
1
2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101
OFFSET
1,1
FORMULA
a(n) = n + floor(1/2+(n/5+1/5)^(1/2)).
MATHEMATICA
Table[n+Floor[1/2+(n/5+1/5)^(1/2)], {n, 100}]
PROG
(Python)
from math import isqrt
def A183224(n): return n+(isqrt((n<<2|2)//5)+1>>1) # Chai Wah Wu, Oct 06 2024
CROSSREFS
Cf. A051624 (12-gonal numbers.)
Sequence in context: A302839 A130572 A353838 * A357862 A098240 A023805
KEYWORD
nonn
AUTHOR
Clark Kimberling, Jan 01 2011
STATUS
approved