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A342457
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Terms of A342456 prime-shifted so far towards lower primes that they become even: a(n) = 2*A246277(A342456(n)).
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4
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2, 2, 2, 4, 2, 4, 6, 6, 2, 4, 64, 16, 324, 36, 10, 36, 2, 4, 64, 16, 2304, 96, 486, 24, 7290, 104976, 21600, 1296, 1708593750000, 100, 93750, 10, 2, 4, 64, 16, 144, 6, 216, 6, 172186884, 7776, 2160, 216, 216000000, 236196, 10497600, 54, 10935000000000, 53144100, 1476225000000, 7290, 122500000000, 10935000, 140, 360
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OFFSET
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0,1
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COMMENTS
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These terms have the same prime signature as the corresponding terms in A342456, thus applying omega and bigomega to these gives the same derived sequences A342461 and A342462.
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LINKS
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Table of n, a(n) for n=0..55.
Index entries for sequences related to binary expansion of n
Index entries for sequences related to primorial base
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FORMULA
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a(n) = 2*A246277(A342456(n)) = 2*A329038(A329886(n)).
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PROG
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(PARI)
A246277(n) = if(1==n, 0, my(f = factor(n), k = primepi(f[1, 1])-1); for (i=1, #f~, f[i, 1] = prime(primepi(f[i, 1])-k)); factorback(f)/2);
A342457(n) = 2*A246277(A342456(n)); \\ Uses also code from A342456.
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CROSSREFS
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Cf. A246277, A276086, A283980, A329038, A329886, A342456, A342461 [= A001221(a(n))], A342462 [= A001222(a(n))], A342464 [= A051903(a(n))].
Sequence in context: A130127 A217982 A184727 * A286849 A098069 A173738
Adjacent sequences: A342454 A342455 A342456 * A342458 A342459 A342460
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KEYWORD
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nonn
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AUTHOR
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Antti Karttunen, Mar 15 2021
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STATUS
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approved
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