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A304241
Indices where Mertens function A002321 reaches record amplitudes between zeros.
4
1, 31, 114, 199, 443, 665, 1109, 1637, 2803, 7021, 8511, 9861, 19291, 24185, 31990, 42961, 48433, 59577, 96014, 141869, 230399, 300551, 355733, 603151, 926265, 1066854, 1793918, 3239797, 5343761, 6481601, 7109110, 10194458, 12874814, 30919091, 61913863
OFFSET
1,2
COMMENTS
A subsequence of A051402 and A304239.
These are the indices where the Mertens function M = A002321 not only reaches a record value (in absolute value), but also its largest amplitude between subsequent zeros (as to avoid many "intermediate" records).
PROG
(PARI) L=M=0; for(n=1, oo, if(m=A002321(n), abs(m)>abs(M)&&[M, N]=[m, n], abs(M)>abs(L) && (L=M) && print1(N", "); M=0))
CROSSREFS
Cf. A002321, A028442 (zeros of M), A051400, A051401, A051402 (where M, -M, |M| reaches k = 1, 2, 3, ...).
Sequence in context: A044282 A044663 A142228 * A204735 A254283 A010019
KEYWORD
nonn,hard
AUTHOR
M. F. Hasler, May 08 2018
EXTENSIONS
More terms from Bert Dobbelaere, Oct 30 2018
STATUS
approved