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A377748
a(n) = (A000217(n) - A005132(n))/2.
1
0, 0, 0, 0, 4, 4, 4, 4, 12, 12, 22, 22, 34, 34, 48, 48, 64, 64, 64, 64, 84, 84, 106, 129, 129, 154, 154, 181, 181, 210, 210, 241, 241, 241, 241, 276, 276, 313, 351, 351, 391, 391, 433, 433, 477, 477, 523, 523, 571, 571, 621, 621, 673, 673, 727, 727, 783, 783, 841, 841
OFFSET
0,5
COMMENTS
a(n) is the sum of the down steps in the first n terms of Recamán's sequence A005132.
FORMULA
a(n) = Sum_{k=1..n} max(0, -A160356(k)).
EXAMPLE
a(0) = (0-0)/2, a(1) = (1-1)/2, a(2) = (3-3)/2, a(3) = (6-6)/2, a(4) = (10-2)/2, a(5) = (15-7)/2 ... .
CROSSREFS
KEYWORD
nonn
AUTHOR
Paul Curtz, Nov 06 2024
STATUS
approved