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A088589 An improved natural sequence based on two base scales Pi and e and the prime sequence. 0
1, 3, 8, 17, 126, 378, 7604, 38022, 2075945, 14531618, 2156683401, 23723517421, 9570750010878, 124419750141419, 136442823568464604, 2319528000663898268, 6914415519745978746410, 131373894875173596181802 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..17.

FORMULA

a(n) = f_Pi[n]*f_E[n]

MATHEMATICA

Phi=Pi Digits=40 (* Pi based sequence*) a=Table[If[m==0, Phi, Phi*Product[Prime[n], {n, 1, m}]], {m, 0, Digits}] (* one inserted to give one as first element*) a0=Insert[a, 1, 1] (* e based sequence*) b=Table[Exp[Sum[n, {n, 0, m}]], {m, 0, Digits}] c=Table[Floor[a0[[Floor[(n+1)/2]]]*b[[Floor[n/2]]]], {n, 2, Digits+1}]

CROSSREFS

Sequence in context: A046994 A058811 A101822 * A319764 A063597 A328054

Adjacent sequences:  A088586 A088587 A088588 * A088590 A088591 A088592

KEYWORD

nonn,uned

AUTHOR

Roger L. Bagula, Nov 20 2003

STATUS

approved

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Last modified May 17 00:16 EDT 2021. Contains 343957 sequences. (Running on oeis4.)