A344537 - OEIS

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A344537

Inverse permutation to A344535.

0, 1, 2, 4, 8, 3, 64, 5, 16, 9, 1024, 6, 32768, 65, 10, 32, 2097152, 17, 268435456, 12, 66, 1025, 68719476736, 7, 128, 32769, 18, 68, 35184372088832, 11, 36028797018963968, 33, 1026, 2097153, 72, 20, 73786976294838206464, 268435457, 32770, 13

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OFFSET

1,3

COMMENTS

This sequence is additive.

This sequence establishes a bijection from A225547 to A261195.

LINKS

Table of n, a(n) for n=1..40.

Index entries for sequences that are permutations of the natural numbers

FORMULA

a(prime(n)) = A006125(n+1) for any n >= 0.

a(2^2^n) = A036442(n).

A000120(a(n)) = A064547(n).

a(A225546(n)) = A344536(n).

a(n) = A344536(n) iff n belongs to A225547.

EXAMPLE

A344535(42) = 240, so a(240) = 42.

PROG

(PARI) a(n) = { my (f=factor(n), v=0); for (k=1, #f~, my (x=primepi(f[k, 1])-1, yy=f[k, 2], y); while (yy, yy-=2^y=valuation(yy, 2); v+=2^(y + (x+

(x+y+1)/2))); v }

CROSSREFS

Cf. A000120, A006125, A036442, A064547, A225546, A225547, A261195, A344535, A344536.

Sequence in context: A223699 A231610 A225124 * A349104 A059884 A191561

Adjacent sequences: A344534 A344535 A344536 * A344538 A344539 A344540

KEYWORD

nonn,base

AUTHOR

Rémy Sigrist, May 23 2021

STATUS

approved