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1, 2, 4, 10, 32, 133, 706, 4542, 33770, 284519, 2694100, 28292286, 324935676, 4052477864, 793359552994, 793359552994, 12294933375782, 202713354823112, 3547535843321377, 65667058958304601, 1280634899889213903
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history;
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OFFSET
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1,2
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COMMENTS
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After 2, the next prime is a(41) = 305549535052620874099715701517119130422273792081.
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LINKS
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Table of n, a(n) for n=1..21.
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FORMULA
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a(n) = SUM[i=1..n] A000140(i).
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EXAMPLE
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a(21) = 1 + 1 + 2 + 6 + 22 + 101 + 573 + 3836 + 29228 + 250749 + 2409581 + 25598186 + 296643390 + 3727542188 + 50626553988 + 738680521142 + 11501573822788 + 190418421447330 + 3344822488498265 + 62119523114983224 + 1214967840930909302.
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MATHEMATICA
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f[n_] := Max@ CoefficientList[ Expand@ Product[ Sum[x^i, {i, 0, j}], {j, n - 1}], x]; Accumulate@ Array[f, 21]
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CROSSREFS
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Cf. A000140, A008302.
Sequence in context: A054091 A056593 A154219 * A089476 A220028 A006397
Adjacent sequences: A173486 A173487 A173488 * A173490 A173491 A173492
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KEYWORD
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easy,nonn
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AUTHOR
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Jonathan Vos Post, Feb 19 2010
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STATUS
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approved
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