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A091345
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Exponential convolution of A069321(n) with itself, where we set A069321(0)=0.
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0
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0, 0, 2, 30, 398, 5430, 79022, 1238790, 20944478, 381167670, 7443745742, 155454939750, 3459933837758, 81801569650710, 2048133412585262, 54153668865539910, 1508122968767710238, 44130728380569410550
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listen;
history;
text;
internal format)
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OFFSET
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0,3
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LINKS
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Table of n, a(n) for n=0..17.
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FORMULA
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a(n)=Sum(C(n, k)Sum(i!i Stirling2(k, i), i=1, .., k)Sum(i!i Stirling2(n-k, i), i=1, .., n-k), k=0, .., n)
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MATHEMATICA
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Table[ Sum[Binomial[n, k]Sum[i!i StirlingS2[k, i], {i, 1, k}]Sum[i!i StirlingS2[n - k, i], {i, 1, n - k}], {k, 0, n}], {n, 0, 20}]
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CROSSREFS
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Sequence in context: A222086 A216119 A083446 * A147682 A211906 A077517
Adjacent sequences: A091342 A091343 A091344 * A091346 A091347 A091348
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KEYWORD
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easy,nonn
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AUTHOR
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Mario Catalani (mario.catalani(AT)unito.it), Jan 01 2004
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STATUS
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approved
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