A357995 Frobenius number for A = (n, n+1^2, n+2^2, n+3^2, ...) for n>=2.

1, 5, 11, 13, 11, 20, 31, 24, 27, 29, 43, 37, 49, 52, 63, 58, 69, 53, 75, 61, 65, 84, 95, 98, 85, 96, 107, 115, 88, 121, 127, 122, 130, 136, 139, 134, 145, 148, 159, 151, 154, 157, 171, 174, 169, 180, 191, 194, 178, 181, 203, 198, 201, 212, 223, 210, 221, 232, 235, 214

Offset: 2

Author

Michel Marcus, Oct 23 2022

Keywords

• nonn

Links

• Feihu Liu and Guoce Xin, On Frobenius Formulas of Power Sequences, arXiv:2210.02722 [math.CO], 2022. See Table 1 p. 26.

Crossrefs

Cf. A059100, A117950, A087475, A117951, A114949, A117619, A189833, A189834,

Programs

Python

def A357995(n):
    a, b = set([0]), set(range(1,n**2))
    for m in [n+k**2 for k in range(n+1)]:
        d=m
        while d < n**2:
            c2 = set([x for x in b if x-d in a])
            a |= c2 ; b -= c2 ; d*=2
    return max(b) # Bert Dobbelaere, Oct 30 2022

Extensions

More terms from Bert Dobbelaere, Oct 30 2022