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A325502 Heinz number of row n of Pascal's triangle A007318. 2
2, 4, 12, 100, 2548, 407044, 106023164, 136765353124, 399090759725236, 4445098474836287524, 151287513513627682258436, 12698799587219706700017036196, 3463928752077516667634331415766516, 2591202267595530693505786197581910681796 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

The Heinz number of a positive integer sequence (y_1,...,y_k) is prime(y_1)*...*prime(y_k).

Every odd-indexed term is a square of a squarefree number.

LINKS

Table of n, a(n) for n=0..13.

Index entries for sequences related to Heinz numbers

FORMULA

A061395(a(n)) = A001405(n).

A056239(a(n)) = A000079(n).

A181819(a(n)) = A038754(n + 1).

EXAMPLE

Row n = 5 of Pascal's triangle is (1,5,10,10,5,1), with Heinz number prime(1)*prime(5)*prime(10)*prime(10)*prime(5)*prime(1) = 407044, so a(5) = 407044.

The sequence of terms together with their prime indices begins:

                    2: {1}

                    4: {1,1}

                   12: {1,1,2}

                  100: {1,1,3,3}

                 2548: {1,1,4,4,6}

               407044: {1,1,5,5,10,10}

            106023164: {1,1,6,6,15,15,20}

         136765353124: {1,1,7,7,21,21,35,35}

      399090759725236: {1,1,8,8,28,28,56,56,70}

  4445098474836287524: {1,1,9,9,36,36,84,84,126,126}

MATHEMATICA

Times@@@Table[Prime[Binomial[n, k]], {n, 0, 5}, {k, 0, n}]

CROSSREFS

Cf. A000040, A001222, A001405, A007318, A056239, A112798, A145519, A215366, A325500, A325503, A325505, A325514.

Sequence in context: A326945 A309718 A230814 * A038791 A327563 A326950

Adjacent sequences:  A325499 A325500 A325501 * A325503 A325504 A325505

KEYWORD

nonn,easy

AUTHOR

Gus Wiseman, May 06 2019

STATUS

approved

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Last modified October 17 06:08 EDT 2019. Contains 328106 sequences. (Running on oeis4.)