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A089651
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Partial sums of the sequence : a(1)=1, a(1), a(1), a(1), a(1), a(2), a(2), a(2), a(2), a(3), a(3), a(3), a(3), a(4), ... each term (not a(1)) repeated 4 times.
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2
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1, 2, 3, 4, 5, 7, 9, 11, 13, 16, 19, 22, 25, 29, 33, 37, 41, 46, 51, 56, 61, 68, 75, 82, 89, 98, 107, 116, 125, 136, 147, 158, 169, 182, 195, 208, 221, 237, 253, 269, 285, 304, 323, 342, 361, 383, 405, 427, 449, 474, 499, 524, 549, 578, 607, 636, 665, 698, 731
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OFFSET
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1,2
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LINKS
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FORMULA
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a(n) = a(n-1) + a(floor((n+2)/4)) with a(1)=1. - Alois P. Heinz, Feb 24 2023
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MAPLE
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a:= proc(n) a(n):= `if`(n=1, 1, a(n-1)+a(iquo(n+2, 4))) end:
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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STATUS
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approved
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