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Records in the number of consecutive integers not expressible as sums of 2 squares.
1

%I #6 Sep 09 2022 10:02:57

%S 0,1,2,4,5,6,7,8,10,14,18,19,20,23,24,27,28,30,33,34,35,36,47,48,49,

%T 52,55,59,60,62,63,65,67,70,71,73,79,80,81,86,87,104,106

%N Records in the number of consecutive integers not expressible as sums of 2 squares.

%e n A297350(n) a(n) Terms in A022544

%e 1 0 0 {}

%e 2 2 1 {3}

%e 3 5 2 {6, 7}

%e 4 20 4 {21, 22, 23, 24}

%e 5 74 5 {75, 76, 77, 78, 79}

%e 6 90 6 { 91, ..., 96}

%e 7 185 7 {186, ..., 192}

%e 8 377 8 {378, ..., 385}

%e 9 986 10 {987, ..., 996}

%Y Cf. A001481, A022544, A104271, A260157, A297350.

%K nonn,more

%O 1,3

%A _Hugo Pfoertner_, Sep 09 2022