A358363
a(n) = 16^n * Sum_{k=0..n} (-1)^k*binomial(1/2, k)^2.
Original entry on oeis.org
1, 12, 196, 3120, 50020, 799536, 12799632, 204724416, 3276326820, 52413049520, 838703348496, 13418125153472, 214703825630736, 3435088134123200, 54963617747611200, 879389273444524800, 14070604335190692900, 225124668703739770800, 3602061930346132909200
Offset: 0
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a := n -> 16^n*add((-1)^k*binomial(1/2, k)^2, k = 0..n):
seq(a(n), n = 0..18);
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a[n_] := 16^n * Sum[(-1)^k*Binomial[1/2, k]^2, {k, 0, n}]; Array[a, 19, 0] (* Amiram Eldar, Nov 12 2022 *)
A367330
a(n) = 27^n * Sum_{k=0..n} (-1)^k*binomial(-1/3, k)^2.
Original entry on oeis.org
1, 24, 684, 17880, 493785, 13108608, 358702272, 9579537792, 261039317220, 6992695897440, 190104989730480, 5101807912472160, 138496042650288420, 3721234160086727040, 100918032317551270080, 2713823288825315967360, 73545091414048811297745
Offset: 0
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Table[27^n*Sum[(-1)^k*Binomial[-1/3, k]^2, {k, 0, n}], {n, 0, 16}]
A367332
a(n) = 27^n * Sum_{k=0..n} binomial(1/3, k)^2.
Original entry on oeis.org
1, 30, 819, 22188, 599976, 16212420, 437948784, 11828393820, 319437445365, 8626198419930, 232935493710231, 6289845008414760, 169838331029620344, 4585907100958922088, 123825507087143633976, 3343423515649756142760, 90275493748778836055964
Offset: 0
-
Table[27^n*Sum[Binomial[1/3, k]^2, {k, 0, n}], {n, 0, 16}]
A367333
a(n) = 27^n * Sum_{k=0..n} binomial(-1/3, k)^2.
Original entry on oeis.org
1, 30, 846, 23430, 643635, 17601732, 480016620, 13065872292, 355170348720, 9644965082940, 261716257738980, 7097365769203260, 192376104782028120, 5212313820585819540, 141177183151026767580, 3822747528826291049460, 103486045894075138514445
Offset: 0
-
Table[27^n*Sum[Binomial[-1/3, k]^2, {k, 0, n}], {n, 0, 16}]
Showing 1-4 of 4 results.
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